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Finding the Third Proportional to 146,695 and 321,902

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Solution

The third proportional to 146,695 and 321,902 is: 706,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,695 : 321,902 = 321,902 : x
  2. Step 2: Convert to fraction form
    146,695/321,902 = 321,902/x
  3. Step 3: Cross multiply
    146,695x = 321,902 × 321,902
  4. Step 4: Simplify right side
    146,695x = 103,620,897,604
  5. Step 5: Solve for x
    x = 103,620,897,604/146,695
  6. Step 6: Final answer
    x = 706,369.66

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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.