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Finding the Third Proportional to 159,170 and 248,442

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Solution

The third proportional to 159,170 and 248,442 is: 387,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,170 : 248,442 = 248,442 : x
  2. Step 2: Convert to fraction form
    159,170/248,442 = 248,442/x
  3. Step 3: Cross multiply
    159,170x = 248,442 × 248,442
  4. Step 4: Simplify right side
    159,170x = 61,723,427,364
  5. Step 5: Solve for x
    x = 61,723,427,364/159,170
  6. Step 6: Final answer
    x = 387,783.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.