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Finding the Third Proportional to 154,386 and 230,927

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Solution

The third proportional to 154,386 and 230,927 is: 345,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,386 : 230,927 = 230,927 : x
  2. Step 2: Convert to fraction form
    154,386/230,927 = 230,927/x
  3. Step 3: Cross multiply
    154,386x = 230,927 × 230,927
  4. Step 4: Simplify right side
    154,386x = 53,327,279,329
  5. Step 5: Solve for x
    x = 53,327,279,329/154,386
  6. Step 6: Final answer
    x = 345,415.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.