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Finding the Third Proportional to 102,376 and 223,664

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Solution

The third proportional to 102,376 and 223,664 is: 488,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,376 : 223,664 = 223,664 : x
  2. Step 2: Convert to fraction form
    102,376/223,664 = 223,664/x
  3. Step 3: Cross multiply
    102,376x = 223,664 × 223,664
  4. Step 4: Simplify right side
    102,376x = 50,025,584,896
  5. Step 5: Solve for x
    x = 50,025,584,896/102,376
  6. Step 6: Final answer
    x = 488,645.63

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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.