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Finding the Third Proportional to 150,267 and 351,199.50

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Solution

The third proportional to 150,267 and 351,199.50 is: 820,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267 : 351,199.50 = 351,199.50 : x
  2. Step 2: Convert to fraction form
    150,267/351,199.50 = 351,199.50/x
  3. Step 3: Cross multiply
    150,267x = 351,199.50 × 351,199.50
  4. Step 4: Simplify right side
    150,267x = 123,341,088,800.25
  5. Step 5: Solve for x
    x = 123,341,088,800.25/150,267
  6. Step 6: Final answer
    x = 820,812.88

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.