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Finding the Third Proportional to 168,871.13 and 261,196.13

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Solution

The third proportional to 168,871.13 and 261,196.13 is: 403,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,871.13 : 261,196.13 = 261,196.13 : x
  2. Step 2: Convert to fraction form
    168,871.13/261,196.13 = 261,196.13/x
  3. Step 3: Cross multiply
    168,871.13x = 261,196.13 × 261,196.13
  4. Step 4: Simplify right side
    168,871.13x = 68,223,415,715.02
  5. Step 5: Solve for x
    x = 68,223,415,715.02/168,871.13
  6. Step 6: Final answer
    x = 403,996.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.