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Finding the Third Proportional to 301.14 and 532.51

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Solution

The third proportional to 301.14 and 532.51 is: 941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 532.51 = 532.51 : x
  2. Step 2: Convert to fraction form
    301.14/532.51 = 532.51/x
  3. Step 3: Cross multiply
    301.14x = 532.51 × 532.51
  4. Step 4: Simplify right side
    301.14x = 283,568.73
  5. Step 5: Solve for x
    x = 283,568.73/301.14
  6. Step 6: Final answer
    x = 941.65

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.