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Finding the Third Proportional to 122,928 and 250,368

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Solution

The third proportional to 122,928 and 250,368 is: 509,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,928 : 250,368 = 250,368 : x
  2. Step 2: Convert to fraction form
    122,928/250,368 = 250,368/x
  3. Step 3: Cross multiply
    122,928x = 250,368 × 250,368
  4. Step 4: Simplify right side
    122,928x = 62,684,135,424
  5. Step 5: Solve for x
    x = 62,684,135,424/122,928
  6. Step 6: Final answer
    x = 509,925.61

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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.