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Finding the Third Proportional to 198,577.13 and 303,061.50

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Solution

The third proportional to 198,577.13 and 303,061.50 is: 462,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,577.13 : 303,061.50 = 303,061.50 : x
  2. Step 2: Convert to fraction form
    198,577.13/303,061.50 = 303,061.50/x
  3. Step 3: Cross multiply
    198,577.13x = 303,061.50 × 303,061.50
  4. Step 4: Simplify right side
    198,577.13x = 91,846,272,782.25
  5. Step 5: Solve for x
    x = 91,846,272,782.25/198,577.13
  6. Step 6: Final answer
    x = 462,521.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.