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Finding the Third Proportional to 198,769.50 and 425,943

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Solution

The third proportional to 198,769.50 and 425,943 is: 912,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,769.50 : 425,943 = 425,943 : x
  2. Step 2: Convert to fraction form
    198,769.50/425,943 = 425,943/x
  3. Step 3: Cross multiply
    198,769.50x = 425,943 × 425,943
  4. Step 4: Simplify right side
    198,769.50x = 181,427,439,249
  5. Step 5: Solve for x
    x = 181,427,439,249/198,769.50
  6. Step 6: Final answer
    x = 912,752.91

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