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Finding the Third Proportional to 206,688.59 and 310,032.88

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Solution

The third proportional to 206,688.59 and 310,032.88 is: 465,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688.59 : 310,032.88 = 310,032.88 : x
  2. Step 2: Convert to fraction form
    206,688.59/310,032.88 = 310,032.88/x
  3. Step 3: Cross multiply
    206,688.59x = 310,032.88 × 310,032.88
  4. Step 4: Simplify right side
    206,688.59x = 96,120,386,002.90
  5. Step 5: Solve for x
    x = 96,120,386,002.90/206,688.59
  6. Step 6: Final answer
    x = 465,049.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.