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Finding the Third Proportional to 117,234 and 252,229

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Solution

The third proportional to 117,234 and 252,229 is: 542,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,234 : 252,229 = 252,229 : x
  2. Step 2: Convert to fraction form
    117,234/252,229 = 252,229/x
  3. Step 3: Cross multiply
    117,234x = 252,229 × 252,229
  4. Step 4: Simplify right side
    117,234x = 63,619,468,441
  5. Step 5: Solve for x
    x = 63,619,468,441/117,234
  6. Step 6: Final answer
    x = 542,670.80

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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.