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Finding the Third Proportional to 147,027 and 318,947.25

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Solution

The third proportional to 147,027 and 318,947.25 is: 691,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,027 : 318,947.25 = 318,947.25 : x
  2. Step 2: Convert to fraction form
    147,027/318,947.25 = 318,947.25/x
  3. Step 3: Cross multiply
    147,027x = 318,947.25 × 318,947.25
  4. Step 4: Simplify right side
    147,027x = 101,727,348,282.56
  5. Step 5: Solve for x
    x = 101,727,348,282.56/147,027
  6. Step 6: Final answer
    x = 691,895.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.