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Finding the Third Proportional to 149,048 and 224,973

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Solution

The third proportional to 149,048 and 224,973 is: 339,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,048 : 224,973 = 224,973 : x
  2. Step 2: Convert to fraction form
    149,048/224,973 = 224,973/x
  3. Step 3: Cross multiply
    149,048x = 224,973 × 224,973
  4. Step 4: Simplify right side
    149,048x = 50,612,850,729
  5. Step 5: Solve for x
    x = 50,612,850,729/149,048
  6. Step 6: Final answer
    x = 339,574.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.