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Finding the Third Proportional to 159,892 and 230,998

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Solution

The third proportional to 159,892 and 230,998 is: 333,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,892 : 230,998 = 230,998 : x
  2. Step 2: Convert to fraction form
    159,892/230,998 = 230,998/x
  3. Step 3: Cross multiply
    159,892x = 230,998 × 230,998
  4. Step 4: Simplify right side
    159,892x = 53,360,076,004
  5. Step 5: Solve for x
    x = 53,360,076,004/159,892
  6. Step 6: Final answer
    x = 333,725.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.