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Finding the Third Proportional to 104,369 and 223,495

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Solution

The third proportional to 104,369 and 223,495 is: 478,590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,369 : 223,495 = 223,495 : x
  2. Step 2: Convert to fraction form
    104,369/223,495 = 223,495/x
  3. Step 3: Cross multiply
    104,369x = 223,495 × 223,495
  4. Step 4: Simplify right side
    104,369x = 49,950,015,025
  5. Step 5: Solve for x
    x = 49,950,015,025/104,369
  6. Step 6: Final answer
    x = 478,590.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.