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Finding the Third Proportional to 170,630 and 367,423

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Solution

The third proportional to 170,630 and 367,423 is: 791,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,630 : 367,423 = 367,423 : x
  2. Step 2: Convert to fraction form
    170,630/367,423 = 367,423/x
  3. Step 3: Cross multiply
    170,630x = 367,423 × 367,423
  4. Step 4: Simplify right side
    170,630x = 134,999,660,929
  5. Step 5: Solve for x
    x = 134,999,660,929/170,630
  6. Step 6: Final answer
    x = 791,183.62

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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.