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Finding the Third Proportional to 116,544 and 250,080

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Solution

The third proportional to 116,544 and 250,080 is: 536,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,544 : 250,080 = 250,080 : x
  2. Step 2: Convert to fraction form
    116,544/250,080 = 250,080/x
  3. Step 3: Cross multiply
    116,544x = 250,080 × 250,080
  4. Step 4: Simplify right side
    116,544x = 62,540,006,400
  5. Step 5: Solve for x
    x = 62,540,006,400/116,544
  6. Step 6: Final answer
    x = 536,621.42

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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.