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Finding the Third Proportional to 187,218 and 254,057

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Solution

The third proportional to 187,218 and 254,057 is: 344,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,218 : 254,057 = 254,057 : x
  2. Step 2: Convert to fraction form
    187,218/254,057 = 254,057/x
  3. Step 3: Cross multiply
    187,218x = 254,057 × 254,057
  4. Step 4: Simplify right side
    187,218x = 64,544,959,249
  5. Step 5: Solve for x
    x = 64,544,959,249/187,218
  6. Step 6: Final answer
    x = 344,758.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.