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Finding the Third Proportional to 367.31 and 653.06

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Solution

The third proportional to 367.31 and 653.06 is: 1,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.31 : 653.06 = 653.06 : x
  2. Step 2: Convert to fraction form
    367.31/653.06 = 653.06/x
  3. Step 3: Cross multiply
    367.31x = 653.06 × 653.06
  4. Step 4: Simplify right side
    367.31x = 426,490.63
  5. Step 5: Solve for x
    x = 426,490.63/367.31
  6. Step 6: Final answer
    x = 1,161.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.