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Finding the Third Proportional to 224,100 and 482,184

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Solution

The third proportional to 224,100 and 482,184 is: 1,037,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,100 : 482,184 = 482,184 : x
  2. Step 2: Convert to fraction form
    224,100/482,184 = 482,184/x
  3. Step 3: Cross multiply
    224,100x = 482,184 × 482,184
  4. Step 4: Simplify right side
    224,100x = 232,501,409,856
  5. Step 5: Solve for x
    x = 232,501,409,856/224,100
  6. Step 6: Final answer
    x = 1,037,489.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.