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Finding the Third Proportional to 149,659.31 and 323,056.69

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Solution

The third proportional to 149,659.31 and 323,056.69 is: 697,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,659.31 : 323,056.69 = 323,056.69 : x
  2. Step 2: Convert to fraction form
    149,659.31/323,056.69 = 323,056.69/x
  3. Step 3: Cross multiply
    149,659.31x = 323,056.69 × 323,056.69
  4. Step 4: Simplify right side
    149,659.31x = 104,365,623,338.47
  5. Step 5: Solve for x
    x = 104,365,623,338.47/149,659.31
  6. Step 6: Final answer
    x = 697,354.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.