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Finding the Third Proportional to 140,103 and 307,422

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Solution

The third proportional to 140,103 and 307,422 is: 674,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103 : 307,422 = 307,422 : x
  2. Step 2: Convert to fraction form
    140,103/307,422 = 307,422/x
  3. Step 3: Cross multiply
    140,103x = 307,422 × 307,422
  4. Step 4: Simplify right side
    140,103x = 94,508,286,084
  5. Step 5: Solve for x
    x = 94,508,286,084/140,103
  6. Step 6: Final answer
    x = 674,562.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.