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Finding the Third Proportional to 170,193 and 365,658

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Solution

The third proportional to 170,193 and 365,658 is: 785,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,193 : 365,658 = 365,658 : x
  2. Step 2: Convert to fraction form
    170,193/365,658 = 365,658/x
  3. Step 3: Cross multiply
    170,193x = 365,658 × 365,658
  4. Step 4: Simplify right side
    170,193x = 133,705,772,964
  5. Step 5: Solve for x
    x = 133,705,772,964/170,193
  6. Step 6: Final answer
    x = 785,612.65

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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.