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Finding the Third Proportional to 236,472 and 280,767

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Solution

The third proportional to 236,472 and 280,767 is: 333,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,472 : 280,767 = 280,767 : x
  2. Step 2: Convert to fraction form
    236,472/280,767 = 280,767/x
  3. Step 3: Cross multiply
    236,472x = 280,767 × 280,767
  4. Step 4: Simplify right side
    236,472x = 78,830,108,289
  5. Step 5: Solve for x
    x = 78,830,108,289/236,472
  6. Step 6: Final answer
    x = 333,359.16

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.