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Finding the Third Proportional to 251,972 and 390,126

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Solution

The third proportional to 251,972 and 390,126 is: 604,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,972 : 390,126 = 390,126 : x
  2. Step 2: Convert to fraction form
    251,972/390,126 = 390,126/x
  3. Step 3: Cross multiply
    251,972x = 390,126 × 390,126
  4. Step 4: Simplify right side
    251,972x = 152,198,295,876
  5. Step 5: Solve for x
    x = 152,198,295,876/251,972
  6. Step 6: Final answer
    x = 604,028.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.