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Finding the Third Proportional to 136.50 and 299.50

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Solution

The third proportional to 136.50 and 299.50 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 299.50 = 299.50 : x
  2. Step 2: Convert to fraction form
    136.50/299.50 = 299.50/x
  3. Step 3: Cross multiply
    136.50x = 299.50 × 299.50
  4. Step 4: Simplify right side
    136.50x = 89,700.25
  5. Step 5: Solve for x
    x = 89,700.25/136.50
  6. Step 6: Final answer
    x = 657.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.