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Finding the Third Proportional to 220,973.06 and 331,095.09

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Solution

The third proportional to 220,973.06 and 331,095.09 is: 496,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,973.06 : 331,095.09 = 331,095.09 : x
  2. Step 2: Convert to fraction form
    220,973.06/331,095.09 = 331,095.09/x
  3. Step 3: Cross multiply
    220,973.06x = 331,095.09 × 331,095.09
  4. Step 4: Simplify right side
    220,973.06x = 109,623,961,105.32
  5. Step 5: Solve for x
    x = 109,623,961,105.32/220,973.06
  6. Step 6: Final answer
    x = 496,096.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.