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Finding the Third Proportional to 158,560 and 211,380

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Solution

The third proportional to 158,560 and 211,380 is: 281,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,560 : 211,380 = 211,380 : x
  2. Step 2: Convert to fraction form
    158,560/211,380 = 211,380/x
  3. Step 3: Cross multiply
    158,560x = 211,380 × 211,380
  4. Step 4: Simplify right side
    158,560x = 44,681,504,400
  5. Step 5: Solve for x
    x = 44,681,504,400/158,560
  6. Step 6: Final answer
    x = 281,795.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.