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Finding the Third Proportional to 206,362.13 and 296,407.69

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Solution

The third proportional to 206,362.13 and 296,407.69 is: 425,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,362.13 : 296,407.69 = 296,407.69 : x
  2. Step 2: Convert to fraction form
    206,362.13/296,407.69 = 296,407.69/x
  3. Step 3: Cross multiply
    206,362.13x = 296,407.69 × 296,407.69
  4. Step 4: Simplify right side
    206,362.13x = 87,857,517,209.10
  5. Step 5: Solve for x
    x = 87,857,517,209.10/206,362.13
  6. Step 6: Final answer
    x = 425,744.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.