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Finding the Third Proportional to 104,657.06 and 224,496.56

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Solution

The third proportional to 104,657.06 and 224,496.56 is: 481,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,657.06 : 224,496.56 = 224,496.56 : x
  2. Step 2: Convert to fraction form
    104,657.06/224,496.56 = 224,496.56/x
  3. Step 3: Cross multiply
    104,657.06x = 224,496.56 × 224,496.56
  4. Step 4: Simplify right side
    104,657.06x = 50,398,706,574.32
  5. Step 5: Solve for x
    x = 50,398,706,574.32/104,657.06
  6. Step 6: Final answer
    x = 481,560.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.