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Finding the Third Proportional to 227,358 and 356,670

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Solution

The third proportional to 227,358 and 356,670 is: 559,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,358 : 356,670 = 356,670 : x
  2. Step 2: Convert to fraction form
    227,358/356,670 = 356,670/x
  3. Step 3: Cross multiply
    227,358x = 356,670 × 356,670
  4. Step 4: Simplify right side
    227,358x = 127,213,488,900
  5. Step 5: Solve for x
    x = 127,213,488,900/227,358
  6. Step 6: Final answer
    x = 559,529.42

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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.