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Finding the Third Proportional to 198,037.41 and 298,001.53

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Solution

The third proportional to 198,037.41 and 298,001.53 is: 448,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,037.41 : 298,001.53 = 298,001.53 : x
  2. Step 2: Convert to fraction form
    198,037.41/298,001.53 = 298,001.53/x
  3. Step 3: Cross multiply
    198,037.41x = 298,001.53 × 298,001.53
  4. Step 4: Simplify right side
    198,037.41x = 88,804,912,627.34
  5. Step 5: Solve for x
    x = 88,804,912,627.34/198,037.41
  6. Step 6: Final answer
    x = 448,424.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.