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Finding the Third Proportional to 251,166 and 377,311

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Solution

The third proportional to 251,166 and 377,311 is: 566,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,166 : 377,311 = 377,311 : x
  2. Step 2: Convert to fraction form
    251,166/377,311 = 377,311/x
  3. Step 3: Cross multiply
    251,166x = 377,311 × 377,311
  4. Step 4: Simplify right side
    251,166x = 142,363,590,721
  5. Step 5: Solve for x
    x = 142,363,590,721/251,166
  6. Step 6: Final answer
    x = 566,810.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.