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Finding the Third Proportional to 133,733.38 and 291,456.13

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Solution

The third proportional to 133,733.38 and 291,456.13 is: 635,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,733.38 : 291,456.13 = 291,456.13 : x
  2. Step 2: Convert to fraction form
    133,733.38/291,456.13 = 291,456.13/x
  3. Step 3: Cross multiply
    133,733.38x = 291,456.13 × 291,456.13
  4. Step 4: Simplify right side
    133,733.38x = 84,946,672,800.02
  5. Step 5: Solve for x
    x = 84,946,672,800.02/133,733.38
  6. Step 6: Final answer
    x = 635,194.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.