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Finding the Third Proportional to 232,840 and 355,943

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Solution

The third proportional to 232,840 and 355,943 is: 544,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,840 : 355,943 = 355,943 : x
  2. Step 2: Convert to fraction form
    232,840/355,943 = 355,943/x
  3. Step 3: Cross multiply
    232,840x = 355,943 × 355,943
  4. Step 4: Simplify right side
    232,840x = 126,695,419,249
  5. Step 5: Solve for x
    x = 126,695,419,249/232,840
  6. Step 6: Final answer
    x = 544,130.82

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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.