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Finding the Third Proportional to 151,566 and 229,452

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Solution

The third proportional to 151,566 and 229,452 is: 347,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,566 : 229,452 = 229,452 : x
  2. Step 2: Convert to fraction form
    151,566/229,452 = 229,452/x
  3. Step 3: Cross multiply
    151,566x = 229,452 × 229,452
  4. Step 4: Simplify right side
    151,566x = 52,648,220,304
  5. Step 5: Solve for x
    x = 52,648,220,304/151,566
  6. Step 6: Final answer
    x = 347,361.68

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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.