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Finding the Third Proportional to 117,240 and 252,255

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Solution

The third proportional to 117,240 and 252,255 is: 542,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,240 : 252,255 = 252,255 : x
  2. Step 2: Convert to fraction form
    117,240/252,255 = 252,255/x
  3. Step 3: Cross multiply
    117,240x = 252,255 × 252,255
  4. Step 4: Simplify right side
    117,240x = 63,632,585,025
  5. Step 5: Solve for x
    x = 63,632,585,025/117,240
  6. Step 6: Final answer
    x = 542,754.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.