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Finding the Third Proportional to 117,670 and 252,188

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Solution

The third proportional to 117,670 and 252,188 is: 540,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,670 : 252,188 = 252,188 : x
  2. Step 2: Convert to fraction form
    117,670/252,188 = 252,188/x
  3. Step 3: Cross multiply
    117,670x = 252,188 × 252,188
  4. Step 4: Simplify right side
    117,670x = 63,598,787,344
  5. Step 5: Solve for x
    x = 63,598,787,344/117,670
  6. Step 6: Final answer
    x = 540,484.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.