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Finding the Third Proportional to 115,400 and 174,645

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Solution

The third proportional to 115,400 and 174,645 is: 264,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400 : 174,645 = 174,645 : x
  2. Step 2: Convert to fraction form
    115,400/174,645 = 174,645/x
  3. Step 3: Cross multiply
    115,400x = 174,645 × 174,645
  4. Step 4: Simplify right side
    115,400x = 30,500,876,025
  5. Step 5: Solve for x
    x = 30,500,876,025/115,400
  6. Step 6: Final answer
    x = 264,305.68

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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.