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Finding the Third Proportional to 308,542 and 466,102

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Solution

The third proportional to 308,542 and 466,102 is: 704,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,542 : 466,102 = 466,102 : x
  2. Step 2: Convert to fraction form
    308,542/466,102 = 466,102/x
  3. Step 3: Cross multiply
    308,542x = 466,102 × 466,102
  4. Step 4: Simplify right side
    308,542x = 217,251,074,404
  5. Step 5: Solve for x
    x = 217,251,074,404/308,542
  6. Step 6: Final answer
    x = 704,121.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.