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Finding the Third Proportional to 140.64 and 210.41

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Solution

The third proportional to 140.64 and 210.41 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.64 : 210.41 = 210.41 : x
  2. Step 2: Convert to fraction form
    140.64/210.41 = 210.41/x
  3. Step 3: Cross multiply
    140.64x = 210.41 × 210.41
  4. Step 4: Simplify right side
    140.64x = 44,272.43
  5. Step 5: Solve for x
    x = 44,272.43/140.64
  6. Step 6: Final answer
    x = 314.79

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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.