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Finding the Third Proportional to 155,067 and 232,602

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Solution

The third proportional to 155,067 and 232,602 is: 348,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,067 : 232,602 = 232,602 : x
  2. Step 2: Convert to fraction form
    155,067/232,602 = 232,602/x
  3. Step 3: Cross multiply
    155,067x = 232,602 × 232,602
  4. Step 4: Simplify right side
    155,067x = 54,103,690,404
  5. Step 5: Solve for x
    x = 54,103,690,404/155,067
  6. Step 6: Final answer
    x = 348,905.25

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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.