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Finding the Third Proportional to 138,456 and 207,453

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Solution

The third proportional to 138,456 and 207,453 is: 310,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456 : 207,453 = 207,453 : x
  2. Step 2: Convert to fraction form
    138,456/207,453 = 207,453/x
  3. Step 3: Cross multiply
    138,456x = 207,453 × 207,453
  4. Step 4: Simplify right side
    138,456x = 43,036,747,209
  5. Step 5: Solve for x
    x = 43,036,747,209/138,456
  6. Step 6: Final answer
    x = 310,833.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.