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Finding the Third Proportional to 206,071 and 439,359

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Solution

The third proportional to 206,071 and 439,359 is: 936,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,071 : 439,359 = 439,359 : x
  2. Step 2: Convert to fraction form
    206,071/439,359 = 439,359/x
  3. Step 3: Cross multiply
    206,071x = 439,359 × 439,359
  4. Step 4: Simplify right side
    206,071x = 193,036,330,881
  5. Step 5: Solve for x
    x = 193,036,330,881/206,071
  6. Step 6: Final answer
    x = 936,746.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.