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Finding the Third Proportional to 159,974 and 370,351

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Solution

The third proportional to 159,974 and 370,351 is: 857,388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,974 : 370,351 = 370,351 : x
  2. Step 2: Convert to fraction form
    159,974/370,351 = 370,351/x
  3. Step 3: Cross multiply
    159,974x = 370,351 × 370,351
  4. Step 4: Simplify right side
    159,974x = 137,159,863,201
  5. Step 5: Solve for x
    x = 137,159,863,201/159,974
  6. Step 6: Final answer
    x = 857,388.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.