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Finding the Third Proportional to 149,356 and 236,611

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Solution

The third proportional to 149,356 and 236,611 is: 374,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356 : 236,611 = 236,611 : x
  2. Step 2: Convert to fraction form
    149,356/236,611 = 236,611/x
  3. Step 3: Cross multiply
    149,356x = 236,611 × 236,611
  4. Step 4: Simplify right side
    149,356x = 55,984,765,321
  5. Step 5: Solve for x
    x = 55,984,765,321/149,356
  6. Step 6: Final answer
    x = 374,841.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.