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Finding the Third Proportional to 226,034 and 276,578

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Solution

The third proportional to 226,034 and 276,578 is: 338,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,034 : 276,578 = 276,578 : x
  2. Step 2: Convert to fraction form
    226,034/276,578 = 276,578/x
  3. Step 3: Cross multiply
    226,034x = 276,578 × 276,578
  4. Step 4: Simplify right side
    226,034x = 76,495,390,084
  5. Step 5: Solve for x
    x = 76,495,390,084/226,034
  6. Step 6: Final answer
    x = 338,424.26

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.