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Finding the Third Proportional to 224,567 and 357,137

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Solution

The third proportional to 224,567 and 357,137 is: 567,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,567 : 357,137 = 357,137 : x
  2. Step 2: Convert to fraction form
    224,567/357,137 = 357,137/x
  3. Step 3: Cross multiply
    224,567x = 357,137 × 357,137
  4. Step 4: Simplify right side
    224,567x = 127,546,836,769
  5. Step 5: Solve for x
    x = 127,546,836,769/224,567
  6. Step 6: Final answer
    x = 567,967.85

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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.