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Finding the Third Proportional to 137.19 and 210.88

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Solution

The third proportional to 137.19 and 210.88 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.19 : 210.88 = 210.88 : x
  2. Step 2: Convert to fraction form
    137.19/210.88 = 210.88/x
  3. Step 3: Cross multiply
    137.19x = 210.88 × 210.88
  4. Step 4: Simplify right side
    137.19x = 44,468.27
  5. Step 5: Solve for x
    x = 44,468.27/137.19
  6. Step 6: Final answer
    x = 324.14

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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.