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Finding the Third Proportional to 140,464 and 297,448

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Solution

The third proportional to 140,464 and 297,448 is: 629,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,464 : 297,448 = 297,448 : x
  2. Step 2: Convert to fraction form
    140,464/297,448 = 297,448/x
  3. Step 3: Cross multiply
    140,464x = 297,448 × 297,448
  4. Step 4: Simplify right side
    140,464x = 88,475,312,704
  5. Step 5: Solve for x
    x = 88,475,312,704/140,464
  6. Step 6: Final answer
    x = 629,878.92

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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.