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Finding the Third Proportional to 224,517 and 348,615

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Solution

The third proportional to 224,517 and 348,615 is: 541,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,517 : 348,615 = 348,615 : x
  2. Step 2: Convert to fraction form
    224,517/348,615 = 348,615/x
  3. Step 3: Cross multiply
    224,517x = 348,615 × 348,615
  4. Step 4: Simplify right side
    224,517x = 121,532,418,225
  5. Step 5: Solve for x
    x = 121,532,418,225/224,517
  6. Step 6: Final answer
    x = 541,306.08

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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.