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Finding the Third Proportional to 133,442 and 293,126

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Solution

The third proportional to 133,442 and 293,126 is: 643,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,442 : 293,126 = 293,126 : x
  2. Step 2: Convert to fraction form
    133,442/293,126 = 293,126/x
  3. Step 3: Cross multiply
    133,442x = 293,126 × 293,126
  4. Step 4: Simplify right side
    133,442x = 85,922,851,876
  5. Step 5: Solve for x
    x = 85,922,851,876/133,442
  6. Step 6: Final answer
    x = 643,896.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.