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Finding the Third Proportional to 156,249 and 324,769.50

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Solution

The third proportional to 156,249 and 324,769.50 is: 675,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,249 : 324,769.50 = 324,769.50 : x
  2. Step 2: Convert to fraction form
    156,249/324,769.50 = 324,769.50/x
  3. Step 3: Cross multiply
    156,249x = 324,769.50 × 324,769.50
  4. Step 4: Simplify right side
    156,249x = 105,475,228,130.25
  5. Step 5: Solve for x
    x = 105,475,228,130.25/156,249
  6. Step 6: Final answer
    x = 675,045.78

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.