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Finding the Third Proportional to 204.88 and 297.63

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Solution

The third proportional to 204.88 and 297.63 is: 432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 297.63 = 297.63 : x
  2. Step 2: Convert to fraction form
    204.88/297.63 = 297.63/x
  3. Step 3: Cross multiply
    204.88x = 297.63 × 297.63
  4. Step 4: Simplify right side
    204.88x = 88,580.64
  5. Step 5: Solve for x
    x = 88,580.64/204.88
  6. Step 6: Final answer
    x = 432.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.