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Finding the Third Proportional to 110,324 and 170,478.75

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Solution

The third proportional to 110,324 and 170,478.75 is: 263,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,324 : 170,478.75 = 170,478.75 : x
  2. Step 2: Convert to fraction form
    110,324/170,478.75 = 170,478.75/x
  3. Step 3: Cross multiply
    110,324x = 170,478.75 × 170,478.75
  4. Step 4: Simplify right side
    110,324x = 29,063,004,201.56
  5. Step 5: Solve for x
    x = 29,063,004,201.56/110,324
  6. Step 6: Final answer
    x = 263,433.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.