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Finding the Third Proportional to 151,696 and 331,040

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Solution

The third proportional to 151,696 and 331,040 is: 722,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,696 : 331,040 = 331,040 : x
  2. Step 2: Convert to fraction form
    151,696/331,040 = 331,040/x
  3. Step 3: Cross multiply
    151,696x = 331,040 × 331,040
  4. Step 4: Simplify right side
    151,696x = 109,587,481,600
  5. Step 5: Solve for x
    x = 109,587,481,600/151,696
  6. Step 6: Final answer
    x = 722,415.10

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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.