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Finding the Third Proportional to 224,491 and 348,542

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Solution

The third proportional to 224,491 and 348,542 is: 541,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,491 : 348,542 = 348,542 : x
  2. Step 2: Convert to fraction form
    224,491/348,542 = 348,542/x
  3. Step 3: Cross multiply
    224,491x = 348,542 × 348,542
  4. Step 4: Simplify right side
    224,491x = 121,481,525,764
  5. Step 5: Solve for x
    x = 121,481,525,764/224,491
  6. Step 6: Final answer
    x = 541,142.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.