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Finding the Third Proportional to 149,282 and 237,418

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Solution

The third proportional to 149,282 and 237,418 is: 377,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,282 : 237,418 = 237,418 : x
  2. Step 2: Convert to fraction form
    149,282/237,418 = 237,418/x
  3. Step 3: Cross multiply
    149,282x = 237,418 × 237,418
  4. Step 4: Simplify right side
    149,282x = 56,367,306,724
  5. Step 5: Solve for x
    x = 56,367,306,724/149,282
  6. Step 6: Final answer
    x = 377,589.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.