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Finding the Third Proportional to 189,047.25 and 292,713.75

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Solution

The third proportional to 189,047.25 and 292,713.75 is: 453,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,047.25 : 292,713.75 = 292,713.75 : x
  2. Step 2: Convert to fraction form
    189,047.25/292,713.75 = 292,713.75/x
  3. Step 3: Cross multiply
    189,047.25x = 292,713.75 × 292,713.75
  4. Step 4: Simplify right side
    189,047.25x = 85,681,339,439.06
  5. Step 5: Solve for x
    x = 85,681,339,439.06/189,047.25
  6. Step 6: Final answer
    x = 453,227.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.