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Finding the Third Proportional to 236,760 and 351,540

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Solution

The third proportional to 236,760 and 351,540 is: 521,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,760 : 351,540 = 351,540 : x
  2. Step 2: Convert to fraction form
    236,760/351,540 = 351,540/x
  3. Step 3: Cross multiply
    236,760x = 351,540 × 351,540
  4. Step 4: Simplify right side
    236,760x = 123,580,371,600
  5. Step 5: Solve for x
    x = 123,580,371,600/236,760
  6. Step 6: Final answer
    x = 521,964.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.