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Finding the Third Proportional to 191,776.13 and 287,664.19

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Solution

The third proportional to 191,776.13 and 287,664.19 is: 431,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,776.13 : 287,664.19 = 287,664.19 : x
  2. Step 2: Convert to fraction form
    191,776.13/287,664.19 = 287,664.19/x
  3. Step 3: Cross multiply
    191,776.13x = 287,664.19 × 287,664.19
  4. Step 4: Simplify right side
    191,776.13x = 82,750,684,770.04
  5. Step 5: Solve for x
    x = 82,750,684,770.04/191,776.13
  6. Step 6: Final answer
    x = 431,496.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.