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Finding the Third Proportional to 148,880 and 324,484

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Solution

The third proportional to 148,880 and 324,484 is: 707,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,880 : 324,484 = 324,484 : x
  2. Step 2: Convert to fraction form
    148,880/324,484 = 324,484/x
  3. Step 3: Cross multiply
    148,880x = 324,484 × 324,484
  4. Step 4: Simplify right side
    148,880x = 105,289,866,256
  5. Step 5: Solve for x
    x = 105,289,866,256/148,880
  6. Step 6: Final answer
    x = 707,212.97

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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.