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Finding the Third Proportional to 198,598.50 and 425,625

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Solution

The third proportional to 198,598.50 and 425,625 is: 912,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.50 : 425,625 = 425,625 : x
  2. Step 2: Convert to fraction form
    198,598.50/425,625 = 425,625/x
  3. Step 3: Cross multiply
    198,598.50x = 425,625 × 425,625
  4. Step 4: Simplify right side
    198,598.50x = 181,156,640,625
  5. Step 5: Solve for x
    x = 181,156,640,625/198,598.50
  6. Step 6: Final answer
    x = 912,175.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.