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Finding the Third Proportional to 205,800.75 and 316,902.38

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Solution

The third proportional to 205,800.75 and 316,902.38 is: 487,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,800.75 : 316,902.38 = 316,902.38 : x
  2. Step 2: Convert to fraction form
    205,800.75/316,902.38 = 316,902.38/x
  3. Step 3: Cross multiply
    205,800.75x = 316,902.38 × 316,902.38
  4. Step 4: Simplify right side
    205,800.75x = 100,427,115,280.64
  5. Step 5: Solve for x
    x = 100,427,115,280.64/205,800.75
  6. Step 6: Final answer
    x = 487,982.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.