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Finding the Third Proportional to 154,144 and 230,172

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Solution

The third proportional to 154,144 and 230,172 is: 343,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,144 : 230,172 = 230,172 : x
  2. Step 2: Convert to fraction form
    154,144/230,172 = 230,172/x
  3. Step 3: Cross multiply
    154,144x = 230,172 × 230,172
  4. Step 4: Simplify right side
    154,144x = 52,979,149,584
  5. Step 5: Solve for x
    x = 52,979,149,584/154,144
  6. Step 6: Final answer
    x = 343,699.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.