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Finding the Third Proportional to 170,756.86 and 374,728.78

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Solution

The third proportional to 170,756.86 and 374,728.78 is: 822,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,756.86 : 374,728.78 = 374,728.78 : x
  2. Step 2: Convert to fraction form
    170,756.86/374,728.78 = 374,728.78/x
  3. Step 3: Cross multiply
    170,756.86x = 374,728.78 × 374,728.78
  4. Step 4: Simplify right side
    170,756.86x = 140,421,659,497.11
  5. Step 5: Solve for x
    x = 140,421,659,497.11/170,756.86
  6. Step 6: Final answer
    x = 822,348.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.