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Finding the Third Proportional to 127,351 and 273,493

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Solution

The third proportional to 127,351 and 273,493 is: 587,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,351 : 273,493 = 273,493 : x
  2. Step 2: Convert to fraction form
    127,351/273,493 = 273,493/x
  3. Step 3: Cross multiply
    127,351x = 273,493 × 273,493
  4. Step 4: Simplify right side
    127,351x = 74,798,421,049
  5. Step 5: Solve for x
    x = 74,798,421,049/127,351
  6. Step 6: Final answer
    x = 587,340.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.