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Finding the Third Proportional to 97,423 and 150,238

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Solution

The third proportional to 97,423 and 150,238 is: 231,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,423 : 150,238 = 150,238 : x
  2. Step 2: Convert to fraction form
    97,423/150,238 = 150,238/x
  3. Step 3: Cross multiply
    97,423x = 150,238 × 150,238
  4. Step 4: Simplify right side
    97,423x = 22,571,456,644
  5. Step 5: Solve for x
    x = 22,571,456,644/97,423
  6. Step 6: Final answer
    x = 231,685.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.