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Finding the Third Proportional to 101,600 and 155,328

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Solution

The third proportional to 101,600 and 155,328 is: 237,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,600 : 155,328 = 155,328 : x
  2. Step 2: Convert to fraction form
    101,600/155,328 = 155,328/x
  3. Step 3: Cross multiply
    101,600x = 155,328 × 155,328
  4. Step 4: Simplify right side
    101,600x = 24,126,787,584
  5. Step 5: Solve for x
    x = 24,126,787,584/101,600
  6. Step 6: Final answer
    x = 237,468.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.