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Finding the Third Proportional to 122,368 and 251,324

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Solution

The third proportional to 122,368 and 251,324 is: 516,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,368 : 251,324 = 251,324 : x
  2. Step 2: Convert to fraction form
    122,368/251,324 = 251,324/x
  3. Step 3: Cross multiply
    122,368x = 251,324 × 251,324
  4. Step 4: Simplify right side
    122,368x = 63,163,752,976
  5. Step 5: Solve for x
    x = 63,163,752,976/122,368
  6. Step 6: Final answer
    x = 516,178.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.