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Finding the Third Proportional to 174,934.69 and 471,246.19

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Solution

The third proportional to 174,934.69 and 471,246.19 is: 1,269,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934.69 : 471,246.19 = 471,246.19 : x
  2. Step 2: Convert to fraction form
    174,934.69/471,246.19 = 471,246.19/x
  3. Step 3: Cross multiply
    174,934.69x = 471,246.19 × 471,246.19
  4. Step 4: Simplify right side
    174,934.69x = 222,072,969,233.29
  5. Step 5: Solve for x
    x = 222,072,969,233.29/174,934.69
  6. Step 6: Final answer
    x = 1,269,462.18

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.