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Finding the Third Proportional to 170,182 and 365,636

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Solution

The third proportional to 170,182 and 365,636 is: 785,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,182 : 365,636 = 365,636 : x
  2. Step 2: Convert to fraction form
    170,182/365,636 = 365,636/x
  3. Step 3: Cross multiply
    170,182x = 365,636 × 365,636
  4. Step 4: Simplify right side
    170,182x = 133,689,684,496
  5. Step 5: Solve for x
    x = 133,689,684,496/170,182
  6. Step 6: Final answer
    x = 785,568.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.