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Finding the Third Proportional to 159,956 and 370,298

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Solution

The third proportional to 159,956 and 370,298 is: 857,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,956 : 370,298 = 370,298 : x
  2. Step 2: Convert to fraction form
    159,956/370,298 = 370,298/x
  3. Step 3: Cross multiply
    159,956x = 370,298 × 370,298
  4. Step 4: Simplify right side
    159,956x = 137,120,608,804
  5. Step 5: Solve for x
    x = 137,120,608,804/159,956
  6. Step 6: Final answer
    x = 857,239.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.