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Finding the Third Proportional to 161,434.69 and 251,962.31

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Solution

The third proportional to 161,434.69 and 251,962.31 is: 393,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,434.69 : 251,962.31 = 251,962.31 : x
  2. Step 2: Convert to fraction form
    161,434.69/251,962.31 = 251,962.31/x
  3. Step 3: Cross multiply
    161,434.69x = 251,962.31 × 251,962.31
  4. Step 4: Simplify right side
    161,434.69x = 63,485,006,920.35
  5. Step 5: Solve for x
    x = 63,485,006,920.35/161,434.69
  6. Step 6: Final answer
    x = 393,255.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.