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Finding the Third Proportional to 171,120 and 412,248

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Solution

The third proportional to 171,120 and 412,248 is: 993,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,120 : 412,248 = 412,248 : x
  2. Step 2: Convert to fraction form
    171,120/412,248 = 412,248/x
  3. Step 3: Cross multiply
    171,120x = 412,248 × 412,248
  4. Step 4: Simplify right side
    171,120x = 169,948,413,504
  5. Step 5: Solve for x
    x = 169,948,413,504/171,120
  6. Step 6: Final answer
    x = 993,153.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.