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Finding the Third Proportional to 162,901.13 and 287,165.25

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Solution

The third proportional to 162,901.13 and 287,165.25 is: 506,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,901.13 : 287,165.25 = 287,165.25 : x
  2. Step 2: Convert to fraction form
    162,901.13/287,165.25 = 287,165.25/x
  3. Step 3: Cross multiply
    162,901.13x = 287,165.25 × 287,165.25
  4. Step 4: Simplify right side
    162,901.13x = 82,463,880,807.56
  5. Step 5: Solve for x
    x = 82,463,880,807.56/162,901.13
  6. Step 6: Final answer
    x = 506,220.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.