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Finding the Third Proportional to 133,770 and 278,588

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Solution

The third proportional to 133,770 and 278,588 is: 580,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770 : 278,588 = 278,588 : x
  2. Step 2: Convert to fraction form
    133,770/278,588 = 278,588/x
  3. Step 3: Cross multiply
    133,770x = 278,588 × 278,588
  4. Step 4: Simplify right side
    133,770x = 77,611,273,744
  5. Step 5: Solve for x
    x = 77,611,273,744/133,770
  6. Step 6: Final answer
    x = 580,184.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.