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Finding the Third Proportional to 115,399.69 and 174,691.69

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Solution

The third proportional to 115,399.69 and 174,691.69 is: 264,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,399.69 : 174,691.69 = 174,691.69 : x
  2. Step 2: Convert to fraction form
    115,399.69/174,691.69 = 174,691.69/x
  3. Step 3: Cross multiply
    115,399.69x = 174,691.69 × 174,691.69
  4. Step 4: Simplify right side
    115,399.69x = 30,517,185,681.60
  5. Step 5: Solve for x
    x = 30,517,185,681.60/115,399.69
  6. Step 6: Final answer
    x = 264,447.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.