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Finding the Third Proportional to 122,348 and 269,534

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Solution

The third proportional to 122,348 and 269,534 is: 593,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,348 : 269,534 = 269,534 : x
  2. Step 2: Convert to fraction form
    122,348/269,534 = 269,534/x
  3. Step 3: Cross multiply
    122,348x = 269,534 × 269,534
  4. Step 4: Simplify right side
    122,348x = 72,648,577,156
  5. Step 5: Solve for x
    x = 72,648,577,156/122,348
  6. Step 6: Final answer
    x = 593,786.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.