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Finding the Third Proportional to 132,384 and 312,192

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Solution

The third proportional to 132,384 and 312,192 is: 736,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384 : 312,192 = 312,192 : x
  2. Step 2: Convert to fraction form
    132,384/312,192 = 312,192/x
  3. Step 3: Cross multiply
    132,384x = 312,192 × 312,192
  4. Step 4: Simplify right side
    132,384x = 97,463,844,864
  5. Step 5: Solve for x
    x = 97,463,844,864/132,384
  6. Step 6: Final answer
    x = 736,220.73

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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.