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Finding the Third Proportional to 76,532 and 162,328

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Solution

The third proportional to 76,532 and 162,328 is: 344,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,532 : 162,328 = 162,328 : x
  2. Step 2: Convert to fraction form
    76,532/162,328 = 162,328/x
  3. Step 3: Cross multiply
    76,532x = 162,328 × 162,328
  4. Step 4: Simplify right side
    76,532x = 26,350,379,584
  5. Step 5: Solve for x
    x = 26,350,379,584/76,532
  6. Step 6: Final answer
    x = 344,305.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.