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Finding the Third Proportional to 156,624 and 238,607

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Solution

The third proportional to 156,624 and 238,607 is: 363,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,624 : 238,607 = 238,607 : x
  2. Step 2: Convert to fraction form
    156,624/238,607 = 238,607/x
  3. Step 3: Cross multiply
    156,624x = 238,607 × 238,607
  4. Step 4: Simplify right side
    156,624x = 56,933,300,449
  5. Step 5: Solve for x
    x = 56,933,300,449/156,624
  6. Step 6: Final answer
    x = 363,503.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.