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Finding the Third Proportional to 154,342.13 and 231,923.25

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Solution

The third proportional to 154,342.13 and 231,923.25 is: 348,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,342.13 : 231,923.25 = 231,923.25 : x
  2. Step 2: Convert to fraction form
    154,342.13/231,923.25 = 231,923.25/x
  3. Step 3: Cross multiply
    154,342.13x = 231,923.25 × 231,923.25
  4. Step 4: Simplify right side
    154,342.13x = 53,788,393,890.56
  5. Step 5: Solve for x
    x = 53,788,393,890.56/154,342.13
  6. Step 6: Final answer
    x = 348,501.06

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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.