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Finding the Third Proportional to 226.13 and 526.22

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Solution

The third proportional to 226.13 and 526.22 is: 1,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.13 : 526.22 = 526.22 : x
  2. Step 2: Convert to fraction form
    226.13/526.22 = 526.22/x
  3. Step 3: Cross multiply
    226.13x = 526.22 × 526.22
  4. Step 4: Simplify right side
    226.13x = 276,906.17
  5. Step 5: Solve for x
    x = 276,906.17/226.13
  6. Step 6: Final answer
    x = 1,224.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.