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Finding the Third Proportional to 206,606 and 314,031

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Solution

The third proportional to 206,606 and 314,031 is: 477,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,606 : 314,031 = 314,031 : x
  2. Step 2: Convert to fraction form
    206,606/314,031 = 314,031/x
  3. Step 3: Cross multiply
    206,606x = 314,031 × 314,031
  4. Step 4: Simplify right side
    206,606x = 98,615,468,961
  5. Step 5: Solve for x
    x = 98,615,468,961/206,606
  6. Step 6: Final answer
    x = 477,311.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.