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Finding the Third Proportional to 141,734 and 222,357

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Solution

The third proportional to 141,734 and 222,357 is: 348,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,734 : 222,357 = 222,357 : x
  2. Step 2: Convert to fraction form
    141,734/222,357 = 222,357/x
  3. Step 3: Cross multiply
    141,734x = 222,357 × 222,357
  4. Step 4: Simplify right side
    141,734x = 49,442,635,449
  5. Step 5: Solve for x
    x = 49,442,635,449/141,734
  6. Step 6: Final answer
    x = 348,841.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.