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Finding the Third Proportional to 242,514 and 367,126

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Solution

The third proportional to 242,514 and 367,126 is: 555,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,514 : 367,126 = 367,126 : x
  2. Step 2: Convert to fraction form
    242,514/367,126 = 367,126/x
  3. Step 3: Cross multiply
    242,514x = 367,126 × 367,126
  4. Step 4: Simplify right side
    242,514x = 134,781,499,876
  5. Step 5: Solve for x
    x = 134,781,499,876/242,514
  6. Step 6: Final answer
    x = 555,767.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.