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Finding the Third Proportional to 140,484 and 215,422

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Solution

The third proportional to 140,484 and 215,422 is: 330,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,484 : 215,422 = 215,422 : x
  2. Step 2: Convert to fraction form
    140,484/215,422 = 215,422/x
  3. Step 3: Cross multiply
    140,484x = 215,422 × 215,422
  4. Step 4: Simplify right side
    140,484x = 46,406,638,084
  5. Step 5: Solve for x
    x = 46,406,638,084/140,484
  6. Step 6: Final answer
    x = 330,333.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.