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Finding the Third Proportional to 102,767 and 224,209

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Solution

The third proportional to 102,767 and 224,209 is: 489,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767 : 224,209 = 224,209 : x
  2. Step 2: Convert to fraction form
    102,767/224,209 = 224,209/x
  3. Step 3: Cross multiply
    102,767x = 224,209 × 224,209
  4. Step 4: Simplify right side
    102,767x = 50,269,675,681
  5. Step 5: Solve for x
    x = 50,269,675,681/102,767
  6. Step 6: Final answer
    x = 489,161.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.