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Finding the Third Proportional to 160,474 and 248,351

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Solution

The third proportional to 160,474 and 248,351 is: 384,350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,474 : 248,351 = 248,351 : x
  2. Step 2: Convert to fraction form
    160,474/248,351 = 248,351/x
  3. Step 3: Cross multiply
    160,474x = 248,351 × 248,351
  4. Step 4: Simplify right side
    160,474x = 61,678,219,201
  5. Step 5: Solve for x
    x = 61,678,219,201/160,474
  6. Step 6: Final answer
    x = 384,350.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.