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Finding the Third Proportional to 198,246.50 and 428,750

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Solution

The third proportional to 198,246.50 and 428,750 is: 927,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,246.50 : 428,750 = 428,750 : x
  2. Step 2: Convert to fraction form
    198,246.50/428,750 = 428,750/x
  3. Step 3: Cross multiply
    198,246.50x = 428,750 × 428,750
  4. Step 4: Simplify right side
    198,246.50x = 183,826,562,500
  5. Step 5: Solve for x
    x = 183,826,562,500/198,246.50
  6. Step 6: Final answer
    x = 927,262.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.