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Finding the Third Proportional to 198,051.75 and 427,669.88

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Solution

The third proportional to 198,051.75 and 427,669.88 is: 923,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,051.75 : 427,669.88 = 427,669.88 : x
  2. Step 2: Convert to fraction form
    198,051.75/427,669.88 = 427,669.88/x
  3. Step 3: Cross multiply
    198,051.75x = 427,669.88 × 427,669.88
  4. Step 4: Simplify right side
    198,051.75x = 182,901,521,982.52
  5. Step 5: Solve for x
    x = 182,901,521,982.52/198,051.75
  6. Step 6: Final answer
    x = 923,503.69

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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.