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Finding the Third Proportional to 166,239 and 356,298

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Solution

The third proportional to 166,239 and 356,298 is: 763,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,239 : 356,298 = 356,298 : x
  2. Step 2: Convert to fraction form
    166,239/356,298 = 356,298/x
  3. Step 3: Cross multiply
    166,239x = 356,298 × 356,298
  4. Step 4: Simplify right side
    166,239x = 126,948,264,804
  5. Step 5: Solve for x
    x = 126,948,264,804/166,239
  6. Step 6: Final answer
    x = 763,649.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.