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Finding the Third Proportional to 102,674 and 224,164

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Solution

The third proportional to 102,674 and 224,164 is: 489,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674 : 224,164 = 224,164 : x
  2. Step 2: Convert to fraction form
    102,674/224,164 = 224,164/x
  3. Step 3: Cross multiply
    102,674x = 224,164 × 224,164
  4. Step 4: Simplify right side
    102,674x = 50,249,498,896
  5. Step 5: Solve for x
    x = 50,249,498,896/102,674
  6. Step 6: Final answer
    x = 489,408.21

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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.