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Finding the Third Proportional to 145,644 and 196,775

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Solution

The third proportional to 145,644 and 196,775 is: 265,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644 : 196,775 = 196,775 : x
  2. Step 2: Convert to fraction form
    145,644/196,775 = 196,775/x
  3. Step 3: Cross multiply
    145,644x = 196,775 × 196,775
  4. Step 4: Simplify right side
    145,644x = 38,720,400,625
  5. Step 5: Solve for x
    x = 38,720,400,625/145,644
  6. Step 6: Final answer
    x = 265,856.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.