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Finding the Third Proportional to 133,715.75 and 293,677

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Solution

The third proportional to 133,715.75 and 293,677 is: 644,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,715.75 : 293,677 = 293,677 : x
  2. Step 2: Convert to fraction form
    133,715.75/293,677 = 293,677/x
  3. Step 3: Cross multiply
    133,715.75x = 293,677 × 293,677
  4. Step 4: Simplify right side
    133,715.75x = 86,246,180,329
  5. Step 5: Solve for x
    x = 86,246,180,329/133,715.75
  6. Step 6: Final answer
    x = 644,996.42

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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.