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Finding the Third Proportional to 121,304.25 and 263,224.13

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Solution

The third proportional to 121,304.25 and 263,224.13 is: 571,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,304.25 : 263,224.13 = 263,224.13 : x
  2. Step 2: Convert to fraction form
    121,304.25/263,224.13 = 263,224.13/x
  3. Step 3: Cross multiply
    121,304.25x = 263,224.13 × 263,224.13
  4. Step 4: Simplify right side
    121,304.25x = 69,286,939,982.02
  5. Step 5: Solve for x
    x = 69,286,939,982.02/121,304.25
  6. Step 6: Final answer
    x = 571,183.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.