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Finding the Third Proportional to 150,488 and 355,226

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Solution

The third proportional to 150,488 and 355,226 is: 838,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,488 : 355,226 = 355,226 : x
  2. Step 2: Convert to fraction form
    150,488/355,226 = 355,226/x
  3. Step 3: Cross multiply
    150,488x = 355,226 × 355,226
  4. Step 4: Simplify right side
    150,488x = 126,185,511,076
  5. Step 5: Solve for x
    x = 126,185,511,076/150,488
  6. Step 6: Final answer
    x = 838,508.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.