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Finding the Third Proportional to 264.09 and 469.97

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Solution

The third proportional to 264.09 and 469.97 is: 836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.09 : 469.97 = 469.97 : x
  2. Step 2: Convert to fraction form
    264.09/469.97 = 469.97/x
  3. Step 3: Cross multiply
    264.09x = 469.97 × 469.97
  4. Step 4: Simplify right side
    264.09x = 220,870.63
  5. Step 5: Solve for x
    x = 220,870.63/264.09
  6. Step 6: Final answer
    x = 836.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.