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Finding the Third Proportional to 170,929 and 368,141

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Solution

The third proportional to 170,929 and 368,141 is: 792,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,929 : 368,141 = 368,141 : x
  2. Step 2: Convert to fraction form
    170,929/368,141 = 368,141/x
  3. Step 3: Cross multiply
    170,929x = 368,141 × 368,141
  4. Step 4: Simplify right side
    170,929x = 135,527,795,881
  5. Step 5: Solve for x
    x = 135,527,795,881/170,929
  6. Step 6: Final answer
    x = 792,889.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.