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Finding the Third Proportional to 183,859 and 253,186

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Solution

The third proportional to 183,859 and 253,186 is: 348,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,859 : 253,186 = 253,186 : x
  2. Step 2: Convert to fraction form
    183,859/253,186 = 253,186/x
  3. Step 3: Cross multiply
    183,859x = 253,186 × 253,186
  4. Step 4: Simplify right side
    183,859x = 64,103,150,596
  5. Step 5: Solve for x
    x = 64,103,150,596/183,859
  6. Step 6: Final answer
    x = 348,653.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.