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Finding the Third Proportional to 235.13 and 355.78

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Solution

The third proportional to 235.13 and 355.78 is: 538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.13 : 355.78 = 355.78 : x
  2. Step 2: Convert to fraction form
    235.13/355.78 = 355.78/x
  3. Step 3: Cross multiply
    235.13x = 355.78 × 355.78
  4. Step 4: Simplify right side
    235.13x = 126,580.30
  5. Step 5: Solve for x
    x = 126,580.30/235.13
  6. Step 6: Final answer
    x = 538.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.