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Finding the Third Proportional to 203.77 and 292.36

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Solution

The third proportional to 203.77 and 292.36 is: 419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 292.36 = 292.36 : x
  2. Step 2: Convert to fraction form
    203.77/292.36 = 292.36/x
  3. Step 3: Cross multiply
    203.77x = 292.36 × 292.36
  4. Step 4: Simplify right side
    203.77x = 85,474.00
  5. Step 5: Solve for x
    x = 85,474.00/203.77
  6. Step 6: Final answer
    x = 419.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.