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Finding the Third Proportional to 133,825.50 and 278,751.38

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Solution

The third proportional to 133,825.50 and 278,751.38 is: 580,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825.50 : 278,751.38 = 278,751.38 : x
  2. Step 2: Convert to fraction form
    133,825.50/278,751.38 = 278,751.38/x
  3. Step 3: Cross multiply
    133,825.50x = 278,751.38 × 278,751.38
  4. Step 4: Simplify right side
    133,825.50x = 77,702,329,064.39
  5. Step 5: Solve for x
    x = 77,702,329,064.39/133,825.50
  6. Step 6: Final answer
    x = 580,624.24

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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.