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Finding the Third Proportional to 170,965.69 and 372,034.69

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Solution

The third proportional to 170,965.69 and 372,034.69 is: 809,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,965.69 : 372,034.69 = 372,034.69 : x
  2. Step 2: Convert to fraction form
    170,965.69/372,034.69 = 372,034.69/x
  3. Step 3: Cross multiply
    170,965.69x = 372,034.69 × 372,034.69
  4. Step 4: Simplify right side
    170,965.69x = 138,409,808,703.22
  5. Step 5: Solve for x
    x = 138,409,808,703.22/170,965.69
  6. Step 6: Final answer
    x = 809,576.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.