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Finding the Third Proportional to 154,264 and 234,654

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Solution

The third proportional to 154,264 and 234,654 is: 356,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,264 : 234,654 = 234,654 : x
  2. Step 2: Convert to fraction form
    154,264/234,654 = 234,654/x
  3. Step 3: Cross multiply
    154,264x = 234,654 × 234,654
  4. Step 4: Simplify right side
    154,264x = 55,062,499,716
  5. Step 5: Solve for x
    x = 55,062,499,716/154,264
  6. Step 6: Final answer
    x = 356,936.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.