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Finding the Third Proportional to 160,515 and 248,414

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Solution

The third proportional to 160,515 and 248,414 is: 384,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,515 : 248,414 = 248,414 : x
  2. Step 2: Convert to fraction form
    160,515/248,414 = 248,414/x
  3. Step 3: Cross multiply
    160,515x = 248,414 × 248,414
  4. Step 4: Simplify right side
    160,515x = 61,709,515,396
  5. Step 5: Solve for x
    x = 61,709,515,396/160,515
  6. Step 6: Final answer
    x = 384,447.03

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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.