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Finding the Third Proportional to 170,180 and 375,136

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Solution

The third proportional to 170,180 and 375,136 is: 826,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,180 : 375,136 = 375,136 : x
  2. Step 2: Convert to fraction form
    170,180/375,136 = 375,136/x
  3. Step 3: Cross multiply
    170,180x = 375,136 × 375,136
  4. Step 4: Simplify right side
    170,180x = 140,727,018,496
  5. Step 5: Solve for x
    x = 140,727,018,496/170,180
  6. Step 6: Final answer
    x = 826,930.42

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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.