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Finding the Third Proportional to 172,092 and 369,087

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Solution

The third proportional to 172,092 and 369,087 is: 791,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,092 : 369,087 = 369,087 : x
  2. Step 2: Convert to fraction form
    172,092/369,087 = 369,087/x
  3. Step 3: Cross multiply
    172,092x = 369,087 × 369,087
  4. Step 4: Simplify right side
    172,092x = 136,225,213,569
  5. Step 5: Solve for x
    x = 136,225,213,569/172,092
  6. Step 6: Final answer
    x = 791,583.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.