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Finding the Third Proportional to 103,540 and 224,006

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Solution

The third proportional to 103,540 and 224,006 is: 484,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,540 : 224,006 = 224,006 : x
  2. Step 2: Convert to fraction form
    103,540/224,006 = 224,006/x
  3. Step 3: Cross multiply
    103,540x = 224,006 × 224,006
  4. Step 4: Simplify right side
    103,540x = 50,178,688,036
  5. Step 5: Solve for x
    x = 50,178,688,036/103,540
  6. Step 6: Final answer
    x = 484,630.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.