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Finding the Third Proportional to 152,961.75 and 331,347.38

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Solution

The third proportional to 152,961.75 and 331,347.38 is: 717,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,961.75 : 331,347.38 = 331,347.38 : x
  2. Step 2: Convert to fraction form
    152,961.75/331,347.38 = 331,347.38/x
  3. Step 3: Cross multiply
    152,961.75x = 331,347.38 × 331,347.38
  4. Step 4: Simplify right side
    152,961.75x = 109,791,082,919.39
  5. Step 5: Solve for x
    x = 109,791,082,919.39/152,961.75
  6. Step 6: Final answer
    x = 717,768.22

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Why These Related Problems?

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