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Finding the Third Proportional to 69,944 and 152,344

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Solution

The third proportional to 69,944 and 152,344 is: 331,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,944 : 152,344 = 152,344 : x
  2. Step 2: Convert to fraction form
    69,944/152,344 = 152,344/x
  3. Step 3: Cross multiply
    69,944x = 152,344 × 152,344
  4. Step 4: Simplify right side
    69,944x = 23,208,694,336
  5. Step 5: Solve for x
    x = 23,208,694,336/69,944
  6. Step 6: Final answer
    x = 331,818.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.