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Finding the Third Proportional to 160,518 and 248,893

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Solution

The third proportional to 160,518 and 248,893 is: 385,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,518 : 248,893 = 248,893 : x
  2. Step 2: Convert to fraction form
    160,518/248,893 = 248,893/x
  3. Step 3: Cross multiply
    160,518x = 248,893 × 248,893
  4. Step 4: Simplify right side
    160,518x = 61,947,725,449
  5. Step 5: Solve for x
    x = 61,947,725,449/160,518
  6. Step 6: Final answer
    x = 385,923.86

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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.