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Finding the Third Proportional to 146,691 and 321,894

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Solution

The third proportional to 146,691 and 321,894 is: 706,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,691 : 321,894 = 321,894 : x
  2. Step 2: Convert to fraction form
    146,691/321,894 = 321,894/x
  3. Step 3: Cross multiply
    146,691x = 321,894 × 321,894
  4. Step 4: Simplify right side
    146,691x = 103,615,747,236
  5. Step 5: Solve for x
    x = 103,615,747,236/146,691
  6. Step 6: Final answer
    x = 706,353.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.