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Finding the Third Proportional to 160,498 and 248,390

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Solution

The third proportional to 160,498 and 248,390 is: 384,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,498 : 248,390 = 248,390 : x
  2. Step 2: Convert to fraction form
    160,498/248,390 = 248,390/x
  3. Step 3: Cross multiply
    160,498x = 248,390 × 248,390
  4. Step 4: Simplify right side
    160,498x = 61,697,592,100
  5. Step 5: Solve for x
    x = 61,697,592,100/160,498
  6. Step 6: Final answer
    x = 384,413.46

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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.