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Finding the Third Proportional to 235.02 and 363.79

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Solution

The third proportional to 235.02 and 363.79 is: 563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.02 : 363.79 = 363.79 : x
  2. Step 2: Convert to fraction form
    235.02/363.79 = 363.79/x
  3. Step 3: Cross multiply
    235.02x = 363.79 × 363.79
  4. Step 4: Simplify right side
    235.02x = 132,341.77
  5. Step 5: Solve for x
    x = 132,341.77/235.02
  6. Step 6: Final answer
    x = 563.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.