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Finding the Third Proportional to 206,727.38 and 311,301

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Solution

The third proportional to 206,727.38 and 311,301 is: 468,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,727.38 : 311,301 = 311,301 : x
  2. Step 2: Convert to fraction form
    206,727.38/311,301 = 311,301/x
  3. Step 3: Cross multiply
    206,727.38x = 311,301 × 311,301
  4. Step 4: Simplify right side
    206,727.38x = 96,908,312,601
  5. Step 5: Solve for x
    x = 96,908,312,601/206,727.38
  6. Step 6: Final answer
    x = 468,773.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.