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Finding the Third Proportional to 134.10 and 284.66

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Solution

The third proportional to 134.10 and 284.66 is: 604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.10 : 284.66 = 284.66 : x
  2. Step 2: Convert to fraction form
    134.10/284.66 = 284.66/x
  3. Step 3: Cross multiply
    134.10x = 284.66 × 284.66
  4. Step 4: Simplify right side
    134.10x = 81,031.40
  5. Step 5: Solve for x
    x = 81,031.40/134.10
  6. Step 6: Final answer
    x = 604.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.