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Finding the Third Proportional to 149,712.75 and 220,192.88

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Solution

The third proportional to 149,712.75 and 220,192.88 is: 323,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712.75 : 220,192.88 = 220,192.88 : x
  2. Step 2: Convert to fraction form
    149,712.75/220,192.88 = 220,192.88/x
  3. Step 3: Cross multiply
    149,712.75x = 220,192.88 × 220,192.88
  4. Step 4: Simplify right side
    149,712.75x = 48,484,902,200.77
  5. Step 5: Solve for x
    x = 48,484,902,200.77/149,712.75
  6. Step 6: Final answer
    x = 323,852.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.