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Finding the Third Proportional to 154,456 and 230,324

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Solution

The third proportional to 154,456 and 230,324 is: 343,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,456 : 230,324 = 230,324 : x
  2. Step 2: Convert to fraction form
    154,456/230,324 = 230,324/x
  3. Step 3: Cross multiply
    154,456x = 230,324 × 230,324
  4. Step 4: Simplify right side
    154,456x = 53,049,144,976
  5. Step 5: Solve for x
    x = 53,049,144,976/154,456
  6. Step 6: Final answer
    x = 343,457.97

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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.