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Finding the Third Proportional to 206,132.34 and 315,329.06

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Solution

The third proportional to 206,132.34 and 315,329.06 is: 482,371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,132.34 : 315,329.06 = 315,329.06 : x
  2. Step 2: Convert to fraction form
    206,132.34/315,329.06 = 315,329.06/x
  3. Step 3: Cross multiply
    206,132.34x = 315,329.06 × 315,329.06
  4. Step 4: Simplify right side
    206,132.34x = 99,432,417,657.13
  5. Step 5: Solve for x
    x = 99,432,417,657.13/206,132.34
  6. Step 6: Final answer
    x = 482,371.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.