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Finding the Third Proportional to 204.75 and 307.13

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Solution

The third proportional to 204.75 and 307.13 is: 460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 307.13 = 307.13 : x
  2. Step 2: Convert to fraction form
    204.75/307.13 = 307.13/x
  3. Step 3: Cross multiply
    204.75x = 307.13 × 307.13
  4. Step 4: Simplify right side
    204.75x = 94,325.77
  5. Step 5: Solve for x
    x = 94,325.77/204.75
  6. Step 6: Final answer
    x = 460.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.