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Finding the Third Proportional to 154,386 and 231,003

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Solution

The third proportional to 154,386 and 231,003 is: 345,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,386 : 231,003 = 231,003 : x
  2. Step 2: Convert to fraction form
    154,386/231,003 = 231,003/x
  3. Step 3: Cross multiply
    154,386x = 231,003 × 231,003
  4. Step 4: Simplify right side
    154,386x = 53,362,386,009
  5. Step 5: Solve for x
    x = 53,362,386,009/154,386
  6. Step 6: Final answer
    x = 345,642.65

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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.