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Finding the Third Proportional to 122,470 and 269,032

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Solution

The third proportional to 122,470 and 269,032 is: 590,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,470 : 269,032 = 269,032 : x
  2. Step 2: Convert to fraction form
    122,470/269,032 = 269,032/x
  3. Step 3: Cross multiply
    122,470x = 269,032 × 269,032
  4. Step 4: Simplify right side
    122,470x = 72,378,217,024
  5. Step 5: Solve for x
    x = 72,378,217,024/122,470
  6. Step 6: Final answer
    x = 590,987.32

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