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Finding the Third Proportional to 104,814 and 219,348

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Solution

The third proportional to 104,814 and 219,348 is: 459,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,814 : 219,348 = 219,348 : x
  2. Step 2: Convert to fraction form
    104,814/219,348 = 219,348/x
  3. Step 3: Cross multiply
    104,814x = 219,348 × 219,348
  4. Step 4: Simplify right side
    104,814x = 48,113,545,104
  5. Step 5: Solve for x
    x = 48,113,545,104/104,814
  6. Step 6: Final answer
    x = 459,037.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.