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Finding the Third Proportional to 193,989.75 and 291,251.25

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Solution

The third proportional to 193,989.75 and 291,251.25 is: 437,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,989.75 : 291,251.25 = 291,251.25 : x
  2. Step 2: Convert to fraction form
    193,989.75/291,251.25 = 291,251.25/x
  3. Step 3: Cross multiply
    193,989.75x = 291,251.25 × 291,251.25
  4. Step 4: Simplify right side
    193,989.75x = 84,827,290,626.56
  5. Step 5: Solve for x
    x = 84,827,290,626.56/193,989.75
  6. Step 6: Final answer
    x = 437,277.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.