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Finding the Third Proportional to 193.13 and 299.06

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Solution

The third proportional to 193.13 and 299.06 is: 463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.13 : 299.06 = 299.06 : x
  2. Step 2: Convert to fraction form
    193.13/299.06 = 299.06/x
  3. Step 3: Cross multiply
    193.13x = 299.06 × 299.06
  4. Step 4: Simplify right side
    193.13x = 89,438.38
  5. Step 5: Solve for x
    x = 89,438.38/193.13
  6. Step 6: Final answer
    x = 463.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.