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Finding the Third Proportional to 150,204 and 281,490

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Solution

The third proportional to 150,204 and 281,490 is: 527,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,204 : 281,490 = 281,490 : x
  2. Step 2: Convert to fraction form
    150,204/281,490 = 281,490/x
  3. Step 3: Cross multiply
    150,204x = 281,490 × 281,490
  4. Step 4: Simplify right side
    150,204x = 79,236,620,100
  5. Step 5: Solve for x
    x = 79,236,620,100/150,204
  6. Step 6: Final answer
    x = 527,526.70

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.