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Finding the Third Proportional to 154,374.75 and 230,914.13

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Solution

The third proportional to 154,374.75 and 230,914.13 is: 345,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,374.75 : 230,914.13 = 230,914.13 : x
  2. Step 2: Convert to fraction form
    154,374.75/230,914.13 = 230,914.13/x
  3. Step 3: Cross multiply
    154,374.75x = 230,914.13 × 230,914.13
  4. Step 4: Simplify right side
    154,374.75x = 53,321,333,124.52
  5. Step 5: Solve for x
    x = 53,321,333,124.52/154,374.75
  6. Step 6: Final answer
    x = 345,401.91

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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.