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Finding the Third Proportional to 136.95 and 295.53

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Solution

The third proportional to 136.95 and 295.53 is: 637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.95 : 295.53 = 295.53 : x
  2. Step 2: Convert to fraction form
    136.95/295.53 = 295.53/x
  3. Step 3: Cross multiply
    136.95x = 295.53 × 295.53
  4. Step 4: Simplify right side
    136.95x = 87,339.95
  5. Step 5: Solve for x
    x = 87,339.95/136.95
  6. Step 6: Final answer
    x = 637.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.