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Finding the Third Proportional to 148,895 and 324,034

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Solution

The third proportional to 148,895 and 324,034 is: 705,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,895 : 324,034 = 324,034 : x
  2. Step 2: Convert to fraction form
    148,895/324,034 = 324,034/x
  3. Step 3: Cross multiply
    148,895x = 324,034 × 324,034
  4. Step 4: Simplify right side
    148,895x = 104,998,033,156
  5. Step 5: Solve for x
    x = 104,998,033,156/148,895
  6. Step 6: Final answer
    x = 705,181.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.