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Finding the Third Proportional to 154,422 and 232,004

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Solution

The third proportional to 154,422 and 232,004 is: 348,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422 : 232,004 = 232,004 : x
  2. Step 2: Convert to fraction form
    154,422/232,004 = 232,004/x
  3. Step 3: Cross multiply
    154,422x = 232,004 × 232,004
  4. Step 4: Simplify right side
    154,422x = 53,825,856,016
  5. Step 5: Solve for x
    x = 53,825,856,016/154,422
  6. Step 6: Final answer
    x = 348,563.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.