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Finding the Third Proportional to 158,892 and 232,990

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Solution

The third proportional to 158,892 and 232,990 is: 341,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,892 : 232,990 = 232,990 : x
  2. Step 2: Convert to fraction form
    158,892/232,990 = 232,990/x
  3. Step 3: Cross multiply
    158,892x = 232,990 × 232,990
  4. Step 4: Simplify right side
    158,892x = 54,284,340,100
  5. Step 5: Solve for x
    x = 54,284,340,100/158,892
  6. Step 6: Final answer
    x = 341,643.00

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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.