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Finding the Third Proportional to 144,471.09 and 224,577.56

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Solution

The third proportional to 144,471.09 and 224,577.56 is: 349,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,471.09 : 224,577.56 = 224,577.56 : x
  2. Step 2: Convert to fraction form
    144,471.09/224,577.56 = 224,577.56/x
  3. Step 3: Cross multiply
    144,471.09x = 224,577.56 × 224,577.56
  4. Step 4: Simplify right side
    144,471.09x = 50,435,081,578.44
  5. Step 5: Solve for x
    x = 50,435,081,578.44/144,471.09
  6. Step 6: Final answer
    x = 349,101.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.