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Finding the Third Proportional to 122,933 and 250,376

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Solution

The third proportional to 122,933 and 250,376 is: 509,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,933 : 250,376 = 250,376 : x
  2. Step 2: Convert to fraction form
    122,933/250,376 = 250,376/x
  3. Step 3: Cross multiply
    122,933x = 250,376 × 250,376
  4. Step 4: Simplify right side
    122,933x = 62,688,141,376
  5. Step 5: Solve for x
    x = 62,688,141,376/122,933
  6. Step 6: Final answer
    x = 509,937.46

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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.