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Finding the Third Proportional to 159,416 and 239,504

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Solution

The third proportional to 159,416 and 239,504 is: 359,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,416 : 239,504 = 239,504 : x
  2. Step 2: Convert to fraction form
    159,416/239,504 = 239,504/x
  3. Step 3: Cross multiply
    159,416x = 239,504 × 239,504
  4. Step 4: Simplify right side
    159,416x = 57,362,166,016
  5. Step 5: Solve for x
    x = 57,362,166,016/159,416
  6. Step 6: Final answer
    x = 359,826.91

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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.