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Finding the Third Proportional to 154,156 and 230,190

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Solution

The third proportional to 154,156 and 230,190 is: 343,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,156 : 230,190 = 230,190 : x
  2. Step 2: Convert to fraction form
    154,156/230,190 = 230,190/x
  3. Step 3: Cross multiply
    154,156x = 230,190 × 230,190
  4. Step 4: Simplify right side
    154,156x = 52,987,436,100
  5. Step 5: Solve for x
    x = 52,987,436,100/154,156
  6. Step 6: Final answer
    x = 343,726.07

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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.