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Finding the Third Proportional to 141.75 and 209.53

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Solution

The third proportional to 141.75 and 209.53 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 209.53 = 209.53 : x
  2. Step 2: Convert to fraction form
    141.75/209.53 = 209.53/x
  3. Step 3: Cross multiply
    141.75x = 209.53 × 209.53
  4. Step 4: Simplify right side
    141.75x = 43,903.34
  5. Step 5: Solve for x
    x = 43,903.34/141.75
  6. Step 6: Final answer
    x = 309.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.