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Finding the Third Proportional to 192.01 and 289.67

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Solution

The third proportional to 192.01 and 289.67 is: 437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.01 : 289.67 = 289.67 : x
  2. Step 2: Convert to fraction form
    192.01/289.67 = 289.67/x
  3. Step 3: Cross multiply
    192.01x = 289.67 × 289.67
  4. Step 4: Simplify right side
    192.01x = 83,908.66
  5. Step 5: Solve for x
    x = 83,908.66/192.01
  6. Step 6: Final answer
    x = 437.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.