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Finding the Third Proportional to 367.88 and 526.08

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Solution

The third proportional to 367.88 and 526.08 is: 752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.88 : 526.08 = 526.08 : x
  2. Step 2: Convert to fraction form
    367.88/526.08 = 526.08/x
  3. Step 3: Cross multiply
    367.88x = 526.08 × 526.08
  4. Step 4: Simplify right side
    367.88x = 276,758.19
  5. Step 5: Solve for x
    x = 276,758.19/367.88
  6. Step 6: Final answer
    x = 752.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.