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Finding the Third Proportional to 151,176 and 329,982

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Solution

The third proportional to 151,176 and 329,982 is: 720,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,176 : 329,982 = 329,982 : x
  2. Step 2: Convert to fraction form
    151,176/329,982 = 329,982/x
  3. Step 3: Cross multiply
    151,176x = 329,982 × 329,982
  4. Step 4: Simplify right side
    151,176x = 108,888,120,324
  5. Step 5: Solve for x
    x = 108,888,120,324/151,176
  6. Step 6: Final answer
    x = 720,273.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.