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Finding the Third Proportional to 181,748 and 372,562

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Solution

The third proportional to 181,748 and 372,562 is: 763,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,748 : 372,562 = 372,562 : x
  2. Step 2: Convert to fraction form
    181,748/372,562 = 372,562/x
  3. Step 3: Cross multiply
    181,748x = 372,562 × 372,562
  4. Step 4: Simplify right side
    181,748x = 138,802,443,844
  5. Step 5: Solve for x
    x = 138,802,443,844/181,748
  6. Step 6: Final answer
    x = 763,708.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.