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Finding the Third Proportional to 122,942 and 250,396

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Solution

The third proportional to 122,942 and 250,396 is: 509,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,942 : 250,396 = 250,396 : x
  2. Step 2: Convert to fraction form
    122,942/250,396 = 250,396/x
  3. Step 3: Cross multiply
    122,942x = 250,396 × 250,396
  4. Step 4: Simplify right side
    122,942x = 62,698,156,816
  5. Step 5: Solve for x
    x = 62,698,156,816/122,942
  6. Step 6: Final answer
    x = 509,981.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.