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Finding the Third Proportional to 342 and 526.22

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Solution

The third proportional to 342 and 526.22 is: 809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 526.22 = 526.22 : x
  2. Step 2: Convert to fraction form
    342/526.22 = 526.22/x
  3. Step 3: Cross multiply
    342x = 526.22 × 526.22
  4. Step 4: Simplify right side
    342x = 276,906.17
  5. Step 5: Solve for x
    x = 276,906.17/342
  6. Step 6: Final answer
    x = 809.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.