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Finding the Third Proportional to 206,350.50 and 296,389.50

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Solution

The third proportional to 206,350.50 and 296,389.50 is: 425,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,350.50 : 296,389.50 = 296,389.50 : x
  2. Step 2: Convert to fraction form
    206,350.50/296,389.50 = 296,389.50/x
  3. Step 3: Cross multiply
    206,350.50x = 296,389.50 × 296,389.50
  4. Step 4: Simplify right side
    206,350.50x = 87,846,735,710.25
  5. Step 5: Solve for x
    x = 87,846,735,710.25/206,350.50
  6. Step 6: Final answer
    x = 425,716.13

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Why These Related Problems?

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