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Finding the Third Proportional to 158,674 and 229,275

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Solution

The third proportional to 158,674 and 229,275 is: 331,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,674 : 229,275 = 229,275 : x
  2. Step 2: Convert to fraction form
    158,674/229,275 = 229,275/x
  3. Step 3: Cross multiply
    158,674x = 229,275 × 229,275
  4. Step 4: Simplify right side
    158,674x = 52,567,025,625
  5. Step 5: Solve for x
    x = 52,567,025,625/158,674
  6. Step 6: Final answer
    x = 331,289.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.