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Finding the Third Proportional to 206,158.50 and 445,959

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Solution

The third proportional to 206,158.50 and 445,959 is: 964,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,158.50 : 445,959 = 445,959 : x
  2. Step 2: Convert to fraction form
    206,158.50/445,959 = 445,959/x
  3. Step 3: Cross multiply
    206,158.50x = 445,959 × 445,959
  4. Step 4: Simplify right side
    206,158.50x = 198,879,429,681
  5. Step 5: Solve for x
    x = 198,879,429,681/206,158.50
  6. Step 6: Final answer
    x = 964,691.87

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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.