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Finding the Third Proportional to 104,249 and 224,710

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Solution

The third proportional to 104,249 and 224,710 is: 484,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,249 : 224,710 = 224,710 : x
  2. Step 2: Convert to fraction form
    104,249/224,710 = 224,710/x
  3. Step 3: Cross multiply
    104,249x = 224,710 × 224,710
  4. Step 4: Simplify right side
    104,249x = 50,494,584,100
  5. Step 5: Solve for x
    x = 50,494,584,100/104,249
  6. Step 6: Final answer
    x = 484,365.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.