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Finding the Third Proportional to 149,965.88 and 238,496.63

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Solution

The third proportional to 149,965.88 and 238,496.63 is: 379,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,965.88 : 238,496.63 = 238,496.63 : x
  2. Step 2: Convert to fraction form
    149,965.88/238,496.63 = 238,496.63/x
  3. Step 3: Cross multiply
    149,965.88x = 238,496.63 × 238,496.63
  4. Step 4: Simplify right side
    149,965.88x = 56,880,640,136.39
  5. Step 5: Solve for x
    x = 56,880,640,136.39/149,965.88
  6. Step 6: Final answer
    x = 379,290.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.