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Finding the Third Proportional to 251,331 and 542,025

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Solution

The third proportional to 251,331 and 542,025 is: 1,168,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,331 : 542,025 = 542,025 : x
  2. Step 2: Convert to fraction form
    251,331/542,025 = 542,025/x
  3. Step 3: Cross multiply
    251,331x = 542,025 × 542,025
  4. Step 4: Simplify right side
    251,331x = 293,791,100,625
  5. Step 5: Solve for x
    x = 293,791,100,625/251,331
  6. Step 6: Final answer
    x = 1,168,940.96

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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.