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Finding the Third Proportional to 198,038.50 and 298,003

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Solution

The third proportional to 198,038.50 and 298,003 is: 448,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,038.50 : 298,003 = 298,003 : x
  2. Step 2: Convert to fraction form
    198,038.50/298,003 = 298,003/x
  3. Step 3: Cross multiply
    198,038.50x = 298,003 × 298,003
  4. Step 4: Simplify right side
    198,038.50x = 88,805,788,009
  5. Step 5: Solve for x
    x = 88,805,788,009/198,038.50
  6. Step 6: Final answer
    x = 448,426.89

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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.