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Finding the Third Proportional to 133,721 and 196,488

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Solution

The third proportional to 133,721 and 196,488 is: 288,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,721 : 196,488 = 196,488 : x
  2. Step 2: Convert to fraction form
    133,721/196,488 = 196,488/x
  3. Step 3: Cross multiply
    133,721x = 196,488 × 196,488
  4. Step 4: Simplify right side
    133,721x = 38,607,534,144
  5. Step 5: Solve for x
    x = 38,607,534,144/133,721
  6. Step 6: Final answer
    x = 288,717.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.