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Finding the Third Proportional to 170,785 and 365,217

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Solution

The third proportional to 170,785 and 365,217 is: 781,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,785 : 365,217 = 365,217 : x
  2. Step 2: Convert to fraction form
    170,785/365,217 = 365,217/x
  3. Step 3: Cross multiply
    170,785x = 365,217 × 365,217
  4. Step 4: Simplify right side
    170,785x = 133,383,457,089
  5. Step 5: Solve for x
    x = 133,383,457,089/170,785
  6. Step 6: Final answer
    x = 781,002.18

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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.