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Finding the Third Proportional to 133,432 and 293,105

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Solution

The third proportional to 133,432 and 293,105 is: 643,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,432 : 293,105 = 293,105 : x
  2. Step 2: Convert to fraction form
    133,432/293,105 = 293,105/x
  3. Step 3: Cross multiply
    133,432x = 293,105 × 293,105
  4. Step 4: Simplify right side
    133,432x = 85,910,541,025
  5. Step 5: Solve for x
    x = 85,910,541,025/133,432
  6. Step 6: Final answer
    x = 643,852.61

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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.