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Finding the Third Proportional to 138,458 and 207,456

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Solution

The third proportional to 138,458 and 207,456 is: 310,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,458 : 207,456 = 207,456 : x
  2. Step 2: Convert to fraction form
    138,458/207,456 = 207,456/x
  3. Step 3: Cross multiply
    138,458x = 207,456 × 207,456
  4. Step 4: Simplify right side
    138,458x = 43,037,991,936
  5. Step 5: Solve for x
    x = 43,037,991,936/138,458
  6. Step 6: Final answer
    x = 310,837.89

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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.