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Finding the Third Proportional to 149,046 and 225,496

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Solution

The third proportional to 149,046 and 225,496 is: 341,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,046 : 225,496 = 225,496 : x
  2. Step 2: Convert to fraction form
    149,046/225,496 = 225,496/x
  3. Step 3: Cross multiply
    149,046x = 225,496 × 225,496
  4. Step 4: Simplify right side
    149,046x = 50,848,446,016
  5. Step 5: Solve for x
    x = 50,848,446,016/149,046
  6. Step 6: Final answer
    x = 341,159.41

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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.