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Finding the Third Proportional to 140.56 and 210.84

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Solution

The third proportional to 140.56 and 210.84 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 210.84 = 210.84 : x
  2. Step 2: Convert to fraction form
    140.56/210.84 = 210.84/x
  3. Step 3: Cross multiply
    140.56x = 210.84 × 210.84
  4. Step 4: Simplify right side
    140.56x = 44,452.58
  5. Step 5: Solve for x
    x = 44,452.58/140.56
  6. Step 6: Final answer
    x = 316.26

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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.