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Finding the Third Proportional to 115,842.66 and 270,641.25

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Solution

The third proportional to 115,842.66 and 270,641.25 is: 632,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,842.66 : 270,641.25 = 270,641.25 : x
  2. Step 2: Convert to fraction form
    115,842.66/270,641.25 = 270,641.25/x
  3. Step 3: Cross multiply
    115,842.66x = 270,641.25 × 270,641.25
  4. Step 4: Simplify right side
    115,842.66x = 73,246,686,201.56
  5. Step 5: Solve for x
    x = 73,246,686,201.56/115,842.66
  6. Step 6: Final answer
    x = 632,294.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.