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Finding the Third Proportional to 150,696 and 233,523

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Solution

The third proportional to 150,696 and 233,523 is: 361,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,696 : 233,523 = 233,523 : x
  2. Step 2: Convert to fraction form
    150,696/233,523 = 233,523/x
  3. Step 3: Cross multiply
    150,696x = 233,523 × 233,523
  4. Step 4: Simplify right side
    150,696x = 54,532,991,529
  5. Step 5: Solve for x
    x = 54,532,991,529/150,696
  6. Step 6: Final answer
    x = 361,874.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.