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Finding the Third Proportional to 198,650.81 and 432,766.13

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Solution

The third proportional to 198,650.81 and 432,766.13 is: 942,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,650.81 : 432,766.13 = 432,766.13 : x
  2. Step 2: Convert to fraction form
    198,650.81/432,766.13 = 432,766.13/x
  3. Step 3: Cross multiply
    198,650.81x = 432,766.13 × 432,766.13
  4. Step 4: Simplify right side
    198,650.81x = 187,286,518,947.52
  5. Step 5: Solve for x
    x = 187,286,518,947.52/198,650.81
  6. Step 6: Final answer
    x = 942,792.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.