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Finding the Third Proportional to 122,468 and 269,028

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Solution

The third proportional to 122,468 and 269,028 is: 590,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,468 : 269,028 = 269,028 : x
  2. Step 2: Convert to fraction form
    122,468/269,028 = 269,028/x
  3. Step 3: Cross multiply
    122,468x = 269,028 × 269,028
  4. Step 4: Simplify right side
    122,468x = 72,376,064,784
  5. Step 5: Solve for x
    x = 72,376,064,784/122,468
  6. Step 6: Final answer
    x = 590,979.40

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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.