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Finding the Third Proportional to 116,264 and 246,364

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Solution

The third proportional to 116,264 and 246,364 is: 522,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,264 : 246,364 = 246,364 : x
  2. Step 2: Convert to fraction form
    116,264/246,364 = 246,364/x
  3. Step 3: Cross multiply
    116,264x = 246,364 × 246,364
  4. Step 4: Simplify right side
    116,264x = 60,695,220,496
  5. Step 5: Solve for x
    x = 60,695,220,496/116,264
  6. Step 6: Final answer
    x = 522,046.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.