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Finding the Third Proportional to 137,407 and 218,577

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Solution

The third proportional to 137,407 and 218,577 is: 347,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,407 : 218,577 = 218,577 : x
  2. Step 2: Convert to fraction form
    137,407/218,577 = 218,577/x
  3. Step 3: Cross multiply
    137,407x = 218,577 × 218,577
  4. Step 4: Simplify right side
    137,407x = 47,775,904,929
  5. Step 5: Solve for x
    x = 47,775,904,929/137,407
  6. Step 6: Final answer
    x = 347,696.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.