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Finding the Third Proportional to 198,042.50 and 427,650

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Solution

The third proportional to 198,042.50 and 427,650 is: 923,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,042.50 : 427,650 = 427,650 : x
  2. Step 2: Convert to fraction form
    198,042.50/427,650 = 427,650/x
  3. Step 3: Cross multiply
    198,042.50x = 427,650 × 427,650
  4. Step 4: Simplify right side
    198,042.50x = 182,884,522,500
  5. Step 5: Solve for x
    x = 182,884,522,500/198,042.50
  6. Step 6: Final answer
    x = 923,460.99

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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.