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Finding the Third Proportional to 151,848 and 323,244

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Solution

The third proportional to 151,848 and 323,244 is: 688,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,848 : 323,244 = 323,244 : x
  2. Step 2: Convert to fraction form
    151,848/323,244 = 323,244/x
  3. Step 3: Cross multiply
    151,848x = 323,244 × 323,244
  4. Step 4: Simplify right side
    151,848x = 104,486,683,536
  5. Step 5: Solve for x
    x = 104,486,683,536/151,848
  6. Step 6: Final answer
    x = 688,100.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.