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Finding the Third Proportional to 235.56 and 459.69

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Solution

The third proportional to 235.56 and 459.69 is: 897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.56 : 459.69 = 459.69 : x
  2. Step 2: Convert to fraction form
    235.56/459.69 = 459.69/x
  3. Step 3: Cross multiply
    235.56x = 459.69 × 459.69
  4. Step 4: Simplify right side
    235.56x = 211,312.60
  5. Step 5: Solve for x
    x = 211,312.60/235.56
  6. Step 6: Final answer
    x = 897.06

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.