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Finding the Third Proportional to 137.06 and 295.88

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Solution

The third proportional to 137.06 and 295.88 is: 638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 295.88 = 295.88 : x
  2. Step 2: Convert to fraction form
    137.06/295.88 = 295.88/x
  3. Step 3: Cross multiply
    137.06x = 295.88 × 295.88
  4. Step 4: Simplify right side
    137.06x = 87,542.02
  5. Step 5: Solve for x
    x = 87,542.02/137.06
  6. Step 6: Final answer
    x = 638.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.