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Finding the Third Proportional to 205.31 and 307.03

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Solution

The third proportional to 205.31 and 307.03 is: 459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 307.03 = 307.03 : x
  2. Step 2: Convert to fraction form
    205.31/307.03 = 307.03/x
  3. Step 3: Cross multiply
    205.31x = 307.03 × 307.03
  4. Step 4: Simplify right side
    205.31x = 94,268.19
  5. Step 5: Solve for x
    x = 94,268.19/205.31
  6. Step 6: Final answer
    x = 459.14

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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.