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Finding the Third Proportional to 235.69 and 366.56

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Solution

The third proportional to 235.69 and 366.56 is: 570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.69 : 366.56 = 366.56 : x
  2. Step 2: Convert to fraction form
    235.69/366.56 = 366.56/x
  3. Step 3: Cross multiply
    235.69x = 366.56 × 366.56
  4. Step 4: Simplify right side
    235.69x = 134,368.07
  5. Step 5: Solve for x
    x = 134,368.07/235.69
  6. Step 6: Final answer
    x = 570.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.