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Finding the Third Proportional to 237,016 and 313,180

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Solution

The third proportional to 237,016 and 313,180 is: 413,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,016 : 313,180 = 313,180 : x
  2. Step 2: Convert to fraction form
    237,016/313,180 = 313,180/x
  3. Step 3: Cross multiply
    237,016x = 313,180 × 313,180
  4. Step 4: Simplify right side
    237,016x = 98,081,712,400
  5. Step 5: Solve for x
    x = 98,081,712,400/237,016
  6. Step 6: Final answer
    x = 413,818.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.