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Finding the Third Proportional to 224,250 and 356,605

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Solution

The third proportional to 224,250 and 356,605 is: 567,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,250 : 356,605 = 356,605 : x
  2. Step 2: Convert to fraction form
    224,250/356,605 = 356,605/x
  3. Step 3: Cross multiply
    224,250x = 356,605 × 356,605
  4. Step 4: Simplify right side
    224,250x = 127,167,126,025
  5. Step 5: Solve for x
    x = 127,167,126,025/224,250
  6. Step 6: Final answer
    x = 567,077.49

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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.