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Finding the Third Proportional to 133,301 and 296,126

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Solution

The third proportional to 133,301 and 296,126 is: 657,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,301 : 296,126 = 296,126 : x
  2. Step 2: Convert to fraction form
    133,301/296,126 = 296,126/x
  3. Step 3: Cross multiply
    133,301x = 296,126 × 296,126
  4. Step 4: Simplify right side
    133,301x = 87,690,607,876
  5. Step 5: Solve for x
    x = 87,690,607,876/133,301
  6. Step 6: Final answer
    x = 657,839.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.