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Finding the Third Proportional to 157,789.69 and 338,185.13

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Solution

The third proportional to 157,789.69 and 338,185.13 is: 724,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,789.69 : 338,185.13 = 338,185.13 : x
  2. Step 2: Convert to fraction form
    157,789.69/338,185.13 = 338,185.13/x
  3. Step 3: Cross multiply
    157,789.69x = 338,185.13 × 338,185.13
  4. Step 4: Simplify right side
    157,789.69x = 114,369,178,771.27
  5. Step 5: Solve for x
    x = 114,369,178,771.27/157,789.69
  6. Step 6: Final answer
    x = 724,820.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.