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Finding the Third Proportional to 170,608 and 367,136

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Solution

The third proportional to 170,608 and 367,136 is: 790,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,608 : 367,136 = 367,136 : x
  2. Step 2: Convert to fraction form
    170,608/367,136 = 367,136/x
  3. Step 3: Cross multiply
    170,608x = 367,136 × 367,136
  4. Step 4: Simplify right side
    170,608x = 134,788,842,496
  5. Step 5: Solve for x
    x = 134,788,842,496/170,608
  6. Step 6: Final answer
    x = 790,049.95

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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.