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Finding the Third Proportional to 149,383.13 and 228,619.69

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Solution

The third proportional to 149,383.13 and 228,619.69 is: 349,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,383.13 : 228,619.69 = 228,619.69 : x
  2. Step 2: Convert to fraction form
    149,383.13/228,619.69 = 228,619.69/x
  3. Step 3: Cross multiply
    149,383.13x = 228,619.69 × 228,619.69
  4. Step 4: Simplify right side
    149,383.13x = 52,266,961,512.60
  5. Step 5: Solve for x
    x = 52,266,961,512.60/149,383.13
  6. Step 6: Final answer
    x = 349,885.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.