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Finding the Third Proportional to 140.63 and 210.38

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Solution

The third proportional to 140.63 and 210.38 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.63 : 210.38 = 210.38 : x
  2. Step 2: Convert to fraction form
    140.63/210.38 = 210.38/x
  3. Step 3: Cross multiply
    140.63x = 210.38 × 210.38
  4. Step 4: Simplify right side
    140.63x = 44,257.64
  5. Step 5: Solve for x
    x = 44,257.64/140.63
  6. Step 6: Final answer
    x = 314.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.