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Finding the Third Proportional to 108,461.25 and 234,469.13

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Solution

The third proportional to 108,461.25 and 234,469.13 is: 506,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,461.25 : 234,469.13 = 234,469.13 : x
  2. Step 2: Convert to fraction form
    108,461.25/234,469.13 = 234,469.13/x
  3. Step 3: Cross multiply
    108,461.25x = 234,469.13 × 234,469.13
  4. Step 4: Simplify right side
    108,461.25x = 54,975,770,578.27
  5. Step 5: Solve for x
    x = 54,975,770,578.27/108,461.25
  6. Step 6: Final answer
    x = 506,870.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.