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Finding the Third Proportional to 149,718 and 320,180

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Solution

The third proportional to 149,718 and 320,180 is: 684,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,718 : 320,180 = 320,180 : x
  2. Step 2: Convert to fraction form
    149,718/320,180 = 320,180/x
  3. Step 3: Cross multiply
    149,718x = 320,180 × 320,180
  4. Step 4: Simplify right side
    149,718x = 102,515,232,400
  5. Step 5: Solve for x
    x = 102,515,232,400/149,718
  6. Step 6: Final answer
    x = 684,722.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.