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Finding the Third Proportional to 134,941 and 296,125

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Solution

The third proportional to 134,941 and 296,125 is: 649,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,941 : 296,125 = 296,125 : x
  2. Step 2: Convert to fraction form
    134,941/296,125 = 296,125/x
  3. Step 3: Cross multiply
    134,941x = 296,125 × 296,125
  4. Step 4: Simplify right side
    134,941x = 87,690,015,625
  5. Step 5: Solve for x
    x = 87,690,015,625/134,941
  6. Step 6: Final answer
    x = 649,839.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.