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Finding the Third Proportional to 206,427 and 319,034

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Solution

The third proportional to 206,427 and 319,034 is: 493,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427 : 319,034 = 319,034 : x
  2. Step 2: Convert to fraction form
    206,427/319,034 = 319,034/x
  3. Step 3: Cross multiply
    206,427x = 319,034 × 319,034
  4. Step 4: Simplify right side
    206,427x = 101,782,693,156
  5. Step 5: Solve for x
    x = 101,782,693,156/206,427
  6. Step 6: Final answer
    x = 493,068.70

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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.