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Finding the Third Proportional to 329.06 and 869.06

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Solution

The third proportional to 329.06 and 869.06 is: 2,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 869.06 = 869.06 : x
  2. Step 2: Convert to fraction form
    329.06/869.06 = 869.06/x
  3. Step 3: Cross multiply
    329.06x = 869.06 × 869.06
  4. Step 4: Simplify right side
    329.06x = 755,269.63
  5. Step 5: Solve for x
    x = 755,269.63/329.06
  6. Step 6: Final answer
    x = 2,295.22

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.