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Finding the Third Proportional to 232,749 and 355,886

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Solution

The third proportional to 232,749 and 355,886 is: 544,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,749 : 355,886 = 355,886 : x
  2. Step 2: Convert to fraction form
    232,749/355,886 = 355,886/x
  3. Step 3: Cross multiply
    232,749x = 355,886 × 355,886
  4. Step 4: Simplify right side
    232,749x = 126,654,844,996
  5. Step 5: Solve for x
    x = 126,654,844,996/232,749
  6. Step 6: Final answer
    x = 544,169.23

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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.