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Finding the Third Proportional to 232,844 and 355,948

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Solution

The third proportional to 232,844 and 355,948 is: 544,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,844 : 355,948 = 355,948 : x
  2. Step 2: Convert to fraction form
    232,844/355,948 = 355,948/x
  3. Step 3: Cross multiply
    232,844x = 355,948 × 355,948
  4. Step 4: Simplify right side
    232,844x = 126,698,978,704
  5. Step 5: Solve for x
    x = 126,698,978,704/232,844
  6. Step 6: Final answer
    x = 544,136.76

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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.