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Finding the Third Proportional to 133,301 and 281,586

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Solution

The third proportional to 133,301 and 281,586 is: 594,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,301 : 281,586 = 281,586 : x
  2. Step 2: Convert to fraction form
    133,301/281,586 = 281,586/x
  3. Step 3: Cross multiply
    133,301x = 281,586 × 281,586
  4. Step 4: Simplify right side
    133,301x = 79,290,675,396
  5. Step 5: Solve for x
    x = 79,290,675,396/133,301
  6. Step 6: Final answer
    x = 594,824.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.