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Finding the Third Proportional to 102,308 and 224,920

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Solution

The third proportional to 102,308 and 224,920 is: 494,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,308 : 224,920 = 224,920 : x
  2. Step 2: Convert to fraction form
    102,308/224,920 = 224,920/x
  3. Step 3: Cross multiply
    102,308x = 224,920 × 224,920
  4. Step 4: Simplify right side
    102,308x = 50,589,006,400
  5. Step 5: Solve for x
    x = 50,589,006,400/102,308
  6. Step 6: Final answer
    x = 494,477.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.