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Finding the Third Proportional to 154,013 and 230,392

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Solution

The third proportional to 154,013 and 230,392 is: 344,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,013 : 230,392 = 230,392 : x
  2. Step 2: Convert to fraction form
    154,013/230,392 = 230,392/x
  3. Step 3: Cross multiply
    154,013x = 230,392 × 230,392
  4. Step 4: Simplify right side
    154,013x = 53,080,473,664
  5. Step 5: Solve for x
    x = 53,080,473,664/154,013
  6. Step 6: Final answer
    x = 344,649.31

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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.