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Finding the Third Proportional to 69,436 and 151,415

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Solution

The third proportional to 69,436 and 151,415 is: 330,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,436 : 151,415 = 151,415 : x
  2. Step 2: Convert to fraction form
    69,436/151,415 = 151,415/x
  3. Step 3: Cross multiply
    69,436x = 151,415 × 151,415
  4. Step 4: Simplify right side
    69,436x = 22,926,502,225
  5. Step 5: Solve for x
    x = 22,926,502,225/69,436
  6. Step 6: Final answer
    x = 330,181.78

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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.