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Finding the Third Proportional to 238,229 and 357,424

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Solution

The third proportional to 238,229 and 357,424 is: 536,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,229 : 357,424 = 357,424 : x
  2. Step 2: Convert to fraction form
    238,229/357,424 = 357,424/x
  3. Step 3: Cross multiply
    238,229x = 357,424 × 357,424
  4. Step 4: Simplify right side
    238,229x = 127,751,915,776
  5. Step 5: Solve for x
    x = 127,751,915,776/238,229
  6. Step 6: Final answer
    x = 536,256.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.