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Finding the Third Proportional to 235.69 and 456.47

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Solution

The third proportional to 235.69 and 456.47 is: 884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.69 : 456.47 = 456.47 : x
  2. Step 2: Convert to fraction form
    235.69/456.47 = 456.47/x
  3. Step 3: Cross multiply
    235.69x = 456.47 × 456.47
  4. Step 4: Simplify right side
    235.69x = 208,363.72
  5. Step 5: Solve for x
    x = 208,363.72/235.69
  6. Step 6: Final answer
    x = 884.07

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.