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Finding the Third Proportional to 116,220 and 246,396

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Solution

The third proportional to 116,220 and 246,396 is: 522,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,220 : 246,396 = 246,396 : x
  2. Step 2: Convert to fraction form
    116,220/246,396 = 246,396/x
  3. Step 3: Cross multiply
    116,220x = 246,396 × 246,396
  4. Step 4: Simplify right side
    116,220x = 60,710,988,816
  5. Step 5: Solve for x
    x = 60,710,988,816/116,220
  6. Step 6: Final answer
    x = 522,379.87

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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.