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Finding the Third Proportional to 220,882.50 and 333,165

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Solution

The third proportional to 220,882.50 and 333,165 is: 502,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,882.50 : 333,165 = 333,165 : x
  2. Step 2: Convert to fraction form
    220,882.50/333,165 = 333,165/x
  3. Step 3: Cross multiply
    220,882.50x = 333,165 × 333,165
  4. Step 4: Simplify right side
    220,882.50x = 110,998,917,225
  5. Step 5: Solve for x
    x = 110,998,917,225/220,882.50
  6. Step 6: Final answer
    x = 502,524.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.