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Finding the Third Proportional to 163,469 and 253,223

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Solution

The third proportional to 163,469 and 253,223 is: 392,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,469 : 253,223 = 253,223 : x
  2. Step 2: Convert to fraction form
    163,469/253,223 = 253,223/x
  3. Step 3: Cross multiply
    163,469x = 253,223 × 253,223
  4. Step 4: Simplify right side
    163,469x = 64,121,887,729
  5. Step 5: Solve for x
    x = 64,121,887,729/163,469
  6. Step 6: Final answer
    x = 392,257.17

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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.