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Finding the Third Proportional to 124,822 and 269,324

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Solution

The third proportional to 124,822 and 269,324 is: 581,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,822 : 269,324 = 269,324 : x
  2. Step 2: Convert to fraction form
    124,822/269,324 = 269,324/x
  3. Step 3: Cross multiply
    124,822x = 269,324 × 269,324
  4. Step 4: Simplify right side
    124,822x = 72,535,416,976
  5. Step 5: Solve for x
    x = 72,535,416,976/124,822
  6. Step 6: Final answer
    x = 581,110.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.