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Finding the Third Proportional to 142,380 and 206,226

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Solution

The third proportional to 142,380 and 206,226 is: 298,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,380 : 206,226 = 206,226 : x
  2. Step 2: Convert to fraction form
    142,380/206,226 = 206,226/x
  3. Step 3: Cross multiply
    142,380x = 206,226 × 206,226
  4. Step 4: Simplify right side
    142,380x = 42,529,163,076
  5. Step 5: Solve for x
    x = 42,529,163,076/142,380
  6. Step 6: Final answer
    x = 298,701.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.