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Finding the Third Proportional to 224,748 and 347,976

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Solution

The third proportional to 224,748 and 347,976 is: 538,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,748 : 347,976 = 347,976 : x
  2. Step 2: Convert to fraction form
    224,748/347,976 = 347,976/x
  3. Step 3: Cross multiply
    224,748x = 347,976 × 347,976
  4. Step 4: Simplify right side
    224,748x = 121,087,296,576
  5. Step 5: Solve for x
    x = 121,087,296,576/224,748
  6. Step 6: Final answer
    x = 538,769.18

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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.