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Finding the Third Proportional to 163,540.69 and 350,728.31

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Solution

The third proportional to 163,540.69 and 350,728.31 is: 752,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,540.69 : 350,728.31 = 350,728.31 : x
  2. Step 2: Convert to fraction form
    163,540.69/350,728.31 = 350,728.31/x
  3. Step 3: Cross multiply
    163,540.69x = 350,728.31 × 350,728.31
  4. Step 4: Simplify right side
    163,540.69x = 123,010,349,189.10
  5. Step 5: Solve for x
    x = 123,010,349,189.10/163,540.69
  6. Step 6: Final answer
    x = 752,169.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.