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Finding the Third Proportional to 147,696 and 324,915

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Solution

The third proportional to 147,696 and 324,915 is: 714,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,696 : 324,915 = 324,915 : x
  2. Step 2: Convert to fraction form
    147,696/324,915 = 324,915/x
  3. Step 3: Cross multiply
    147,696x = 324,915 × 324,915
  4. Step 4: Simplify right side
    147,696x = 105,569,757,225
  5. Step 5: Solve for x
    x = 105,569,757,225/147,696
  6. Step 6: Final answer
    x = 714,777.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.