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Finding the Third Proportional to 133,434.75 and 293,113.50

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Solution

The third proportional to 133,434.75 and 293,113.50 is: 643,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,434.75 : 293,113.50 = 293,113.50 : x
  2. Step 2: Convert to fraction form
    133,434.75/293,113.50 = 293,113.50/x
  3. Step 3: Cross multiply
    133,434.75x = 293,113.50 × 293,113.50
  4. Step 4: Simplify right side
    133,434.75x = 85,915,523,882.25
  5. Step 5: Solve for x
    x = 85,915,523,882.25/133,434.75
  6. Step 6: Final answer
    x = 643,876.68

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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.