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Finding the Third Proportional to 235.59 and 358.27

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Solution

The third proportional to 235.59 and 358.27 is: 544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.59 : 358.27 = 358.27 : x
  2. Step 2: Convert to fraction form
    235.59/358.27 = 358.27/x
  3. Step 3: Cross multiply
    235.59x = 358.27 × 358.27
  4. Step 4: Simplify right side
    235.59x = 128,354.26
  5. Step 5: Solve for x
    x = 128,354.26/235.59
  6. Step 6: Final answer
    x = 544.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.