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Finding the Third Proportional to 154,840 and 234,399

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Solution

The third proportional to 154,840 and 234,399 is: 354,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,840 : 234,399 = 234,399 : x
  2. Step 2: Convert to fraction form
    154,840/234,399 = 234,399/x
  3. Step 3: Cross multiply
    154,840x = 234,399 × 234,399
  4. Step 4: Simplify right side
    154,840x = 54,942,891,201
  5. Step 5: Solve for x
    x = 54,942,891,201/154,840
  6. Step 6: Final answer
    x = 354,836.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.