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Finding the Third Proportional to 232,740 and 355,879

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Solution

The third proportional to 232,740 and 355,879 is: 544,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,740 : 355,879 = 355,879 : x
  2. Step 2: Convert to fraction form
    232,740/355,879 = 355,879/x
  3. Step 3: Cross multiply
    232,740x = 355,879 × 355,879
  4. Step 4: Simplify right side
    232,740x = 126,649,862,641
  5. Step 5: Solve for x
    x = 126,649,862,641/232,740
  6. Step 6: Final answer
    x = 544,168.87

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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.