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Finding the Third Proportional to 155,551 and 248,096

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Solution

The third proportional to 155,551 and 248,096 is: 395,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,551 : 248,096 = 248,096 : x
  2. Step 2: Convert to fraction form
    155,551/248,096 = 248,096/x
  3. Step 3: Cross multiply
    155,551x = 248,096 × 248,096
  4. Step 4: Simplify right side
    155,551x = 61,551,625,216
  5. Step 5: Solve for x
    x = 61,551,625,216/155,551
  6. Step 6: Final answer
    x = 395,700.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.