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Finding the Third Proportional to 224,896 and 350,976

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Solution

The third proportional to 224,896 and 350,976 is: 547,738.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,896 : 350,976 = 350,976 : x
  2. Step 2: Convert to fraction form
    224,896/350,976 = 350,976/x
  3. Step 3: Cross multiply
    224,896x = 350,976 × 350,976
  4. Step 4: Simplify right side
    224,896x = 123,184,152,576
  5. Step 5: Solve for x
    x = 123,184,152,576/224,896
  6. Step 6: Final answer
    x = 547,738.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.