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Finding the Third Proportional to 127,224 and 276,578

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Solution

The third proportional to 127,224 and 276,578 is: 601,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,224 : 276,578 = 276,578 : x
  2. Step 2: Convert to fraction form
    127,224/276,578 = 276,578/x
  3. Step 3: Cross multiply
    127,224x = 276,578 × 276,578
  4. Step 4: Simplify right side
    127,224x = 76,495,390,084
  5. Step 5: Solve for x
    x = 76,495,390,084/127,224
  6. Step 6: Final answer
    x = 601,265.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.