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Finding the Third Proportional to 145.88 and 222.13

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Solution

The third proportional to 145.88 and 222.13 is: 338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 222.13 = 222.13 : x
  2. Step 2: Convert to fraction form
    145.88/222.13 = 222.13/x
  3. Step 3: Cross multiply
    145.88x = 222.13 × 222.13
  4. Step 4: Simplify right side
    145.88x = 49,339.52
  5. Step 5: Solve for x
    x = 49,339.52/145.88
  6. Step 6: Final answer
    x = 338.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.