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Finding the Third Proportional to 150,048 and 234,288

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Solution

The third proportional to 150,048 and 234,288 is: 365,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048 : 234,288 = 234,288 : x
  2. Step 2: Convert to fraction form
    150,048/234,288 = 234,288/x
  3. Step 3: Cross multiply
    150,048x = 234,288 × 234,288
  4. Step 4: Simplify right side
    150,048x = 54,890,866,944
  5. Step 5: Solve for x
    x = 54,890,866,944/150,048
  6. Step 6: Final answer
    x = 365,822.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.