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Finding the Third Proportional to 114,942 and 247,376

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Solution

The third proportional to 114,942 and 247,376 is: 532,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,942 : 247,376 = 247,376 : x
  2. Step 2: Convert to fraction form
    114,942/247,376 = 247,376/x
  3. Step 3: Cross multiply
    114,942x = 247,376 × 247,376
  4. Step 4: Simplify right side
    114,942x = 61,194,885,376
  5. Step 5: Solve for x
    x = 61,194,885,376/114,942
  6. Step 6: Final answer
    x = 532,397.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.