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Finding the Third Proportional to 117,290 and 246,100

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Solution

The third proportional to 117,290 and 246,100 is: 516,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,290 : 246,100 = 246,100 : x
  2. Step 2: Convert to fraction form
    117,290/246,100 = 246,100/x
  3. Step 3: Cross multiply
    117,290x = 246,100 × 246,100
  4. Step 4: Simplify right side
    117,290x = 60,565,210,000
  5. Step 5: Solve for x
    x = 60,565,210,000/117,290
  6. Step 6: Final answer
    x = 516,371.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.