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Finding the Third Proportional to 149,520 and 222,984

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Solution

The third proportional to 149,520 and 222,984 is: 332,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,520 : 222,984 = 222,984 : x
  2. Step 2: Convert to fraction form
    149,520/222,984 = 222,984/x
  3. Step 3: Cross multiply
    149,520x = 222,984 × 222,984
  4. Step 4: Simplify right side
    149,520x = 49,721,864,256
  5. Step 5: Solve for x
    x = 49,721,864,256/149,520
  6. Step 6: Final answer
    x = 332,543.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.