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Finding the Third Proportional to 218.81 and 526.22

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Solution

The third proportional to 218.81 and 526.22 is: 1,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.81 : 526.22 = 526.22 : x
  2. Step 2: Convert to fraction form
    218.81/526.22 = 526.22/x
  3. Step 3: Cross multiply
    218.81x = 526.22 × 526.22
  4. Step 4: Simplify right side
    218.81x = 276,906.17
  5. Step 5: Solve for x
    x = 276,906.17/218.81
  6. Step 6: Final answer
    x = 1,265.50

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.