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Finding the Third Proportional to 232,739 and 355,877

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Solution

The third proportional to 232,739 and 355,877 is: 544,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,739 : 355,877 = 355,877 : x
  2. Step 2: Convert to fraction form
    232,739/355,877 = 355,877/x
  3. Step 3: Cross multiply
    232,739x = 355,877 × 355,877
  4. Step 4: Simplify right side
    232,739x = 126,648,439,129
  5. Step 5: Solve for x
    x = 126,648,439,129/232,739
  6. Step 6: Final answer
    x = 544,165.09

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Why These Related Problems?

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