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Finding the Third Proportional to 206,452.50 and 301,711.13

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Solution

The third proportional to 206,452.50 and 301,711.13 is: 440,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,452.50 : 301,711.13 = 301,711.13 : x
  2. Step 2: Convert to fraction form
    206,452.50/301,711.13 = 301,711.13/x
  3. Step 3: Cross multiply
    206,452.50x = 301,711.13 × 301,711.13
  4. Step 4: Simplify right side
    206,452.50x = 91,029,602,948.77
  5. Step 5: Solve for x
    x = 91,029,602,948.77/206,452.50
  6. Step 6: Final answer
    x = 440,922.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.