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Finding the Third Proportional to 251,401 and 542,141

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Solution

The third proportional to 251,401 and 542,141 is: 1,169,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,401 : 542,141 = 542,141 : x
  2. Step 2: Convert to fraction form
    251,401/542,141 = 542,141/x
  3. Step 3: Cross multiply
    251,401x = 542,141 × 542,141
  4. Step 4: Simplify right side
    251,401x = 293,916,863,881
  5. Step 5: Solve for x
    x = 293,916,863,881/251,401
  6. Step 6: Final answer
    x = 1,169,115.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.