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Finding the Third Proportional to 170,785.50 and 365,217.38

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Solution

The third proportional to 170,785.50 and 365,217.38 is: 781,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,785.50 : 365,217.38 = 365,217.38 : x
  2. Step 2: Convert to fraction form
    170,785.50/365,217.38 = 365,217.38/x
  3. Step 3: Cross multiply
    170,785.50x = 365,217.38 × 365,217.38
  4. Step 4: Simplify right side
    170,785.50x = 133,383,731,001.89
  5. Step 5: Solve for x
    x = 133,383,731,001.89/170,785.50
  6. Step 6: Final answer
    x = 781,001.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.