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Finding the Third Proportional to 227,308 and 356,578

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Solution

The third proportional to 227,308 and 356,578 is: 559,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,308 : 356,578 = 356,578 : x
  2. Step 2: Convert to fraction form
    227,308/356,578 = 356,578/x
  3. Step 3: Cross multiply
    227,308x = 356,578 × 356,578
  4. Step 4: Simplify right side
    227,308x = 127,147,870,084
  5. Step 5: Solve for x
    x = 127,147,870,084/227,308
  6. Step 6: Final answer
    x = 559,363.82

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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.