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Finding the Third Proportional to 286.50 and 448.13

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Solution

The third proportional to 286.50 and 448.13 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.50 : 448.13 = 448.13 : x
  2. Step 2: Convert to fraction form
    286.50/448.13 = 448.13/x
  3. Step 3: Cross multiply
    286.50x = 448.13 × 448.13
  4. Step 4: Simplify right side
    286.50x = 200,816.02
  5. Step 5: Solve for x
    x = 200,816.02/286.50
  6. Step 6: Final answer
    x = 700.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.