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Finding the Third Proportional to 154,000 and 230,371

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Solution

The third proportional to 154,000 and 230,371 is: 344,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,000 : 230,371 = 230,371 : x
  2. Step 2: Convert to fraction form
    154,000/230,371 = 230,371/x
  3. Step 3: Cross multiply
    154,000x = 230,371 × 230,371
  4. Step 4: Simplify right side
    154,000x = 53,070,797,641
  5. Step 5: Solve for x
    x = 53,070,797,641/154,000
  6. Step 6: Final answer
    x = 344,615.57

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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.