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Finding the Third Proportional to 133,984 and 278,993.75

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Solution

The third proportional to 133,984 and 278,993.75 is: 580,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,984 : 278,993.75 = 278,993.75 : x
  2. Step 2: Convert to fraction form
    133,984/278,993.75 = 278,993.75/x
  3. Step 3: Cross multiply
    133,984x = 278,993.75 × 278,993.75
  4. Step 4: Simplify right side
    133,984x = 77,837,512,539.06
  5. Step 5: Solve for x
    x = 77,837,512,539.06/133,984
  6. Step 6: Final answer
    x = 580,946.33

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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.