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Finding the Third Proportional to 200.53 and 263.53

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Solution

The third proportional to 200.53 and 263.53 is: 346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 263.53 = 263.53 : x
  2. Step 2: Convert to fraction form
    200.53/263.53 = 263.53/x
  3. Step 3: Cross multiply
    200.53x = 263.53 × 263.53
  4. Step 4: Simplify right side
    200.53x = 69,448.72
  5. Step 5: Solve for x
    x = 69,448.72/200.53
  6. Step 6: Final answer
    x = 346.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.