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Finding the Third Proportional to 145.75 and 206.38

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Solution

The third proportional to 145.75 and 206.38 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.75 : 206.38 = 206.38 : x
  2. Step 2: Convert to fraction form
    145.75/206.38 = 206.38/x
  3. Step 3: Cross multiply
    145.75x = 206.38 × 206.38
  4. Step 4: Simplify right side
    145.75x = 42,590.64
  5. Step 5: Solve for x
    x = 42,590.64/145.75
  6. Step 6: Final answer
    x = 292.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.