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Finding the Third Proportional to 227,190 and 356,423

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Solution

The third proportional to 227,190 and 356,423 is: 559,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,190 : 356,423 = 356,423 : x
  2. Step 2: Convert to fraction form
    227,190/356,423 = 356,423/x
  3. Step 3: Cross multiply
    227,190x = 356,423 × 356,423
  4. Step 4: Simplify right side
    227,190x = 127,037,354,929
  5. Step 5: Solve for x
    x = 127,037,354,929/227,190
  6. Step 6: Final answer
    x = 559,167.90

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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.