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Finding the Third Proportional to 227,192 and 356,426

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Solution

The third proportional to 227,192 and 356,426 is: 559,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,192 : 356,426 = 356,426 : x
  2. Step 2: Convert to fraction form
    227,192/356,426 = 356,426/x
  3. Step 3: Cross multiply
    227,192x = 356,426 × 356,426
  4. Step 4: Simplify right side
    227,192x = 127,039,493,476
  5. Step 5: Solve for x
    x = 127,039,493,476/227,192
  6. Step 6: Final answer
    x = 559,172.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.