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Finding the Third Proportional to 198,053.25 and 427,672.88

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Solution

The third proportional to 198,053.25 and 427,672.88 is: 923,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,053.25 : 427,672.88 = 427,672.88 : x
  2. Step 2: Convert to fraction form
    198,053.25/427,672.88 = 427,672.88/x
  3. Step 3: Cross multiply
    198,053.25x = 427,672.88 × 427,672.88
  4. Step 4: Simplify right side
    198,053.25x = 182,904,088,010.77
  5. Step 5: Solve for x
    x = 182,904,088,010.77/198,053.25
  6. Step 6: Final answer
    x = 923,509.65

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Why These Related Problems?

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