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Finding the Third Proportional to 202.92 and 299.53

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Solution

The third proportional to 202.92 and 299.53 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 299.53 = 299.53 : x
  2. Step 2: Convert to fraction form
    202.92/299.53 = 299.53/x
  3. Step 3: Cross multiply
    202.92x = 299.53 × 299.53
  4. Step 4: Simplify right side
    202.92x = 89,718.97
  5. Step 5: Solve for x
    x = 89,718.97/202.92
  6. Step 6: Final answer
    x = 442.14

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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.