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Finding the Third Proportional to 148,559 and 324,334

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Solution

The third proportional to 148,559 and 324,334 is: 708,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,559 : 324,334 = 324,334 : x
  2. Step 2: Convert to fraction form
    148,559/324,334 = 324,334/x
  3. Step 3: Cross multiply
    148,559x = 324,334 × 324,334
  4. Step 4: Simplify right side
    148,559x = 105,192,543,556
  5. Step 5: Solve for x
    x = 105,192,543,556/148,559
  6. Step 6: Final answer
    x = 708,085.97

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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.