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Finding the Third Proportional to 113,218 and 167,230

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Solution

The third proportional to 113,218 and 167,230 is: 247,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,218 : 167,230 = 167,230 : x
  2. Step 2: Convert to fraction form
    113,218/167,230 = 167,230/x
  3. Step 3: Cross multiply
    113,218x = 167,230 × 167,230
  4. Step 4: Simplify right side
    113,218x = 27,965,872,900
  5. Step 5: Solve for x
    x = 27,965,872,900/113,218
  6. Step 6: Final answer
    x = 247,009.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.