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Finding the Third Proportional to 351.75 and 526.27

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Solution

The third proportional to 351.75 and 526.27 is: 787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.75 : 526.27 = 526.27 : x
  2. Step 2: Convert to fraction form
    351.75/526.27 = 526.27/x
  3. Step 3: Cross multiply
    351.75x = 526.27 × 526.27
  4. Step 4: Simplify right side
    351.75x = 276,955.51
  5. Step 5: Solve for x
    x = 276,955.51/351.75
  6. Step 6: Final answer
    x = 787.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.