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Finding the Third Proportional to 205.88 and 342.56

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Solution

The third proportional to 205.88 and 342.56 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 342.56 = 342.56 : x
  2. Step 2: Convert to fraction form
    205.88/342.56 = 342.56/x
  3. Step 3: Cross multiply
    205.88x = 342.56 × 342.56
  4. Step 4: Simplify right side
    205.88x = 117,349.07
  5. Step 5: Solve for x
    x = 117,349.07/205.88
  6. Step 6: Final answer
    x = 570.00

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.