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Finding the Third Proportional to 151,679.25 and 224,534.50

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Solution

The third proportional to 151,679.25 and 224,534.50 is: 332,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,679.25 : 224,534.50 = 224,534.50 : x
  2. Step 2: Convert to fraction form
    151,679.25/224,534.50 = 224,534.50/x
  3. Step 3: Cross multiply
    151,679.25x = 224,534.50 × 224,534.50
  4. Step 4: Simplify right side
    151,679.25x = 50,415,741,690.25
  5. Step 5: Solve for x
    x = 50,415,741,690.25/151,679.25
  6. Step 6: Final answer
    x = 332,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.