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Finding the Third Proportional to 206,448.75 and 319,082.63

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Solution

The third proportional to 206,448.75 and 319,082.63 is: 493,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.75 : 319,082.63 = 319,082.63 : x
  2. Step 2: Convert to fraction form
    206,448.75/319,082.63 = 319,082.63/x
  3. Step 3: Cross multiply
    206,448.75x = 319,082.63 × 319,082.63
  4. Step 4: Simplify right side
    206,448.75x = 101,813,721,576.89
  5. Step 5: Solve for x
    x = 101,813,721,576.89/206,448.75
  6. Step 6: Final answer
    x = 493,167.05

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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.