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Finding the Third Proportional to 170,626.50 and 367,416

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Solution

The third proportional to 170,626.50 and 367,416 is: 791,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,626.50 : 367,416 = 367,416 : x
  2. Step 2: Convert to fraction form
    170,626.50/367,416 = 367,416/x
  3. Step 3: Cross multiply
    170,626.50x = 367,416 × 367,416
  4. Step 4: Simplify right side
    170,626.50x = 134,994,517,056
  5. Step 5: Solve for x
    x = 134,994,517,056/170,626.50
  6. Step 6: Final answer
    x = 791,169.70

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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.