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Finding the Third Proportional to 166,452 and 359,508

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Solution

The third proportional to 166,452 and 359,508 is: 776,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,452 : 359,508 = 359,508 : x
  2. Step 2: Convert to fraction form
    166,452/359,508 = 359,508/x
  3. Step 3: Cross multiply
    166,452x = 359,508 × 359,508
  4. Step 4: Simplify right side
    166,452x = 129,246,002,064
  5. Step 5: Solve for x
    x = 129,246,002,064/166,452
  6. Step 6: Final answer
    x = 776,476.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.