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Finding the Third Proportional to 132,570 and 258,452

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Solution

The third proportional to 132,570 and 258,452 is: 503,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,570 : 258,452 = 258,452 : x
  2. Step 2: Convert to fraction form
    132,570/258,452 = 258,452/x
  3. Step 3: Cross multiply
    132,570x = 258,452 × 258,452
  4. Step 4: Simplify right side
    132,570x = 66,797,436,304
  5. Step 5: Solve for x
    x = 66,797,436,304/132,570
  6. Step 6: Final answer
    x = 503,865.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.