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Finding the Third Proportional to 134.16 and 206.30

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Solution

The third proportional to 134.16 and 206.30 is: 317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 206.30 = 206.30 : x
  2. Step 2: Convert to fraction form
    134.16/206.30 = 206.30/x
  3. Step 3: Cross multiply
    134.16x = 206.30 × 206.30
  4. Step 4: Simplify right side
    134.16x = 42,558.40
  5. Step 5: Solve for x
    x = 42,558.40/134.16
  6. Step 6: Final answer
    x = 317.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.