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Finding the Third Proportional to 165,487.50 and 233,165.25

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Solution

The third proportional to 165,487.50 and 233,165.25 is: 328,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,487.50 : 233,165.25 = 233,165.25 : x
  2. Step 2: Convert to fraction form
    165,487.50/233,165.25 = 233,165.25/x
  3. Step 3: Cross multiply
    165,487.50x = 233,165.25 × 233,165.25
  4. Step 4: Simplify right side
    165,487.50x = 54,366,033,807.56
  5. Step 5: Solve for x
    x = 54,366,033,807.56/165,487.50
  6. Step 6: Final answer
    x = 328,520.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.