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Finding the Third Proportional to 224,102.50 and 482,189

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Solution

The third proportional to 224,102.50 and 482,189 is: 1,037,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,102.50 : 482,189 = 482,189 : x
  2. Step 2: Convert to fraction form
    224,102.50/482,189 = 482,189/x
  3. Step 3: Cross multiply
    224,102.50x = 482,189 × 482,189
  4. Step 4: Simplify right side
    224,102.50x = 232,506,231,721
  5. Step 5: Solve for x
    x = 232,506,231,721/224,102.50
  6. Step 6: Final answer
    x = 1,037,499.50

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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.