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Finding the Third Proportional to 232,834.50 and 356,018.63

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Solution

The third proportional to 232,834.50 and 356,018.63 is: 544,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,834.50 : 356,018.63 = 356,018.63 : x
  2. Step 2: Convert to fraction form
    232,834.50/356,018.63 = 356,018.63/x
  3. Step 3: Cross multiply
    232,834.50x = 356,018.63 × 356,018.63
  4. Step 4: Simplify right side
    232,834.50x = 126,749,261,346.89
  5. Step 5: Solve for x
    x = 126,749,261,346.89/232,834.50
  6. Step 6: Final answer
    x = 544,374.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.