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Finding the Third Proportional to 173.00 and 341.18

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Solution

The third proportional to 173.00 and 341.18 is: 672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.00 : 341.18 = 341.18 : x
  2. Step 2: Convert to fraction form
    173.00/341.18 = 341.18/x
  3. Step 3: Cross multiply
    173.00x = 341.18 × 341.18
  4. Step 4: Simplify right side
    173.00x = 116,407.08
  5. Step 5: Solve for x
    x = 116,407.08/173.00
  6. Step 6: Final answer
    x = 672.89

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.