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Finding the Third Proportional to 133,911 and 278,917.88

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Solution

The third proportional to 133,911 and 278,917.88 is: 580,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 278,917.88 = 278,917.88 : x
  2. Step 2: Convert to fraction form
    133,911/278,917.88 = 278,917.88/x
  3. Step 3: Cross multiply
    133,911x = 278,917.88 × 278,917.88
  4. Step 4: Simplify right side
    133,911x = 77,795,180,994.52
  5. Step 5: Solve for x
    x = 77,795,180,994.52/133,911
  6. Step 6: Final answer
    x = 580,946.90

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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.