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Finding the Third Proportional to 321.75 and 470.81

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Solution

The third proportional to 321.75 and 470.81 is: 688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 470.81 = 470.81 : x
  2. Step 2: Convert to fraction form
    321.75/470.81 = 470.81/x
  3. Step 3: Cross multiply
    321.75x = 470.81 × 470.81
  4. Step 4: Simplify right side
    321.75x = 221,664.41
  5. Step 5: Solve for x
    x = 221,664.41/321.75
  6. Step 6: Final answer
    x = 688.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.