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Finding the Third Proportional to 152,696 and 332,500

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Solution

The third proportional to 152,696 and 332,500 is: 724,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,696 : 332,500 = 332,500 : x
  2. Step 2: Convert to fraction form
    152,696/332,500 = 332,500/x
  3. Step 3: Cross multiply
    152,696x = 332,500 × 332,500
  4. Step 4: Simplify right side
    152,696x = 110,556,250,000
  5. Step 5: Solve for x
    x = 110,556,250,000/152,696
  6. Step 6: Final answer
    x = 724,028.46

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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.