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Finding the Third Proportional to 171,702 and 251,892

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Solution

The third proportional to 171,702 and 251,892 is: 369,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,702 : 251,892 = 251,892 : x
  2. Step 2: Convert to fraction form
    171,702/251,892 = 251,892/x
  3. Step 3: Cross multiply
    171,702x = 251,892 × 251,892
  4. Step 4: Simplify right side
    171,702x = 63,449,579,664
  5. Step 5: Solve for x
    x = 63,449,579,664/171,702
  6. Step 6: Final answer
    x = 369,533.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.