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Finding the Third Proportional to 140,466 and 297,452

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Solution

The third proportional to 140,466 and 297,452 is: 629,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,466 : 297,452 = 297,452 : x
  2. Step 2: Convert to fraction form
    140,466/297,452 = 297,452/x
  3. Step 3: Cross multiply
    140,466x = 297,452 × 297,452
  4. Step 4: Simplify right side
    140,466x = 88,477,692,304
  5. Step 5: Solve for x
    x = 88,477,692,304/140,466
  6. Step 6: Final answer
    x = 629,886.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.