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Finding the Third Proportional to 150,316 and 225,000

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Solution

The third proportional to 150,316 and 225,000 is: 336,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,316 : 225,000 = 225,000 : x
  2. Step 2: Convert to fraction form
    150,316/225,000 = 225,000/x
  3. Step 3: Cross multiply
    150,316x = 225,000 × 225,000
  4. Step 4: Simplify right side
    150,316x = 50,625,000,000
  5. Step 5: Solve for x
    x = 50,625,000,000/150,316
  6. Step 6: Final answer
    x = 336,790.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.