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Finding the Third Proportional to 151,530 and 224,364

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Solution

The third proportional to 151,530 and 224,364 is: 332,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,530 : 224,364 = 224,364 : x
  2. Step 2: Convert to fraction form
    151,530/224,364 = 224,364/x
  3. Step 3: Cross multiply
    151,530x = 224,364 × 224,364
  4. Step 4: Simplify right side
    151,530x = 50,339,204,496
  5. Step 5: Solve for x
    x = 50,339,204,496/151,530
  6. Step 6: Final answer
    x = 332,206.19

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