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Finding the Third Proportional to 155,954 and 243,039

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Solution

The third proportional to 155,954 and 243,039 is: 378,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,954 : 243,039 = 243,039 : x
  2. Step 2: Convert to fraction form
    155,954/243,039 = 243,039/x
  3. Step 3: Cross multiply
    155,954x = 243,039 × 243,039
  4. Step 4: Simplify right side
    155,954x = 59,067,955,521
  5. Step 5: Solve for x
    x = 59,067,955,521/155,954
  6. Step 6: Final answer
    x = 378,752.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.