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Finding the Third Proportional to 232,769 and 355,926

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Solution

The third proportional to 232,769 and 355,926 is: 544,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,769 : 355,926 = 355,926 : x
  2. Step 2: Convert to fraction form
    232,769/355,926 = 355,926/x
  3. Step 3: Cross multiply
    232,769x = 355,926 × 355,926
  4. Step 4: Simplify right side
    232,769x = 126,683,317,476
  5. Step 5: Solve for x
    x = 126,683,317,476/232,769
  6. Step 6: Final answer
    x = 544,244.80

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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.