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Finding the Third Proportional to 137,331 and 212,218

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Solution

The third proportional to 137,331 and 212,218 is: 327,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,331 : 212,218 = 212,218 : x
  2. Step 2: Convert to fraction form
    137,331/212,218 = 212,218/x
  3. Step 3: Cross multiply
    137,331x = 212,218 × 212,218
  4. Step 4: Simplify right side
    137,331x = 45,036,479,524
  5. Step 5: Solve for x
    x = 45,036,479,524/137,331
  6. Step 6: Final answer
    x = 327,941.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.