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Finding the Third Proportional to 159,801 and 355,074

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Solution

The third proportional to 159,801 and 355,074 is: 788,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,801 : 355,074 = 355,074 : x
  2. Step 2: Convert to fraction form
    159,801/355,074 = 355,074/x
  3. Step 3: Cross multiply
    159,801x = 355,074 × 355,074
  4. Step 4: Simplify right side
    159,801x = 126,077,545,476
  5. Step 5: Solve for x
    x = 126,077,545,476/159,801
  6. Step 6: Final answer
    x = 788,965.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.