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Finding the Third Proportional to 205.13 and 435.56

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Solution

The third proportional to 205.13 and 435.56 is: 924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 435.56 = 435.56 : x
  2. Step 2: Convert to fraction form
    205.13/435.56 = 435.56/x
  3. Step 3: Cross multiply
    205.13x = 435.56 × 435.56
  4. Step 4: Simplify right side
    205.13x = 189,714.69
  5. Step 5: Solve for x
    x = 189,714.69/205.13
  6. Step 6: Final answer
    x = 924.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.