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Finding the Third Proportional to 104,896 and 224,624

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Solution

The third proportional to 104,896 and 224,624 is: 481,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,896 : 224,624 = 224,624 : x
  2. Step 2: Convert to fraction form
    104,896/224,624 = 224,624/x
  3. Step 3: Cross multiply
    104,896x = 224,624 × 224,624
  4. Step 4: Simplify right side
    104,896x = 50,455,941,376
  5. Step 5: Solve for x
    x = 50,455,941,376/104,896
  6. Step 6: Final answer
    x = 481,009.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.