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Finding the Third Proportional to 193,114.13 and 288,577.13

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Solution

The third proportional to 193,114.13 and 288,577.13 is: 431,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,114.13 : 288,577.13 = 288,577.13 : x
  2. Step 2: Convert to fraction form
    193,114.13/288,577.13 = 288,577.13/x
  3. Step 3: Cross multiply
    193,114.13x = 288,577.13 × 288,577.13
  4. Step 4: Simplify right side
    193,114.13x = 83,276,757,073.27
  5. Step 5: Solve for x
    x = 83,276,757,073.27/193,114.13
  6. Step 6: Final answer
    x = 431,230.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.