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Finding the Third Proportional to 205.63 and 307.56

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Solution

The third proportional to 205.63 and 307.56 is: 460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.63 : 307.56 = 307.56 : x
  2. Step 2: Convert to fraction form
    205.63/307.56 = 307.56/x
  3. Step 3: Cross multiply
    205.63x = 307.56 × 307.56
  4. Step 4: Simplify right side
    205.63x = 94,594.69
  5. Step 5: Solve for x
    x = 94,594.69/205.63
  6. Step 6: Final answer
    x = 460.03

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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.