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Finding the Third Proportional to 198,592.50 and 425,613

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Solution

The third proportional to 198,592.50 and 425,613 is: 912,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.50 : 425,613 = 425,613 : x
  2. Step 2: Convert to fraction form
    198,592.50/425,613 = 425,613/x
  3. Step 3: Cross multiply
    198,592.50x = 425,613 × 425,613
  4. Step 4: Simplify right side
    198,592.50x = 181,146,425,769
  5. Step 5: Solve for x
    x = 181,146,425,769/198,592.50
  6. Step 6: Final answer
    x = 912,151.39

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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.