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Finding the Third Proportional to 133,828.88 and 192,358.13

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Solution

The third proportional to 133,828.88 and 192,358.13 is: 276,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,828.88 : 192,358.13 = 192,358.13 : x
  2. Step 2: Convert to fraction form
    133,828.88/192,358.13 = 192,358.13/x
  3. Step 3: Cross multiply
    133,828.88x = 192,358.13 × 192,358.13
  4. Step 4: Simplify right side
    133,828.88x = 37,001,648,253.52
  5. Step 5: Solve for x
    x = 37,001,648,253.52/133,828.88
  6. Step 6: Final answer
    x = 276,484.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.