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Finding the Third Proportional to 116,464 and 252,704

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Solution

The third proportional to 116,464 and 252,704 is: 548,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,464 : 252,704 = 252,704 : x
  2. Step 2: Convert to fraction form
    116,464/252,704 = 252,704/x
  3. Step 3: Cross multiply
    116,464x = 252,704 × 252,704
  4. Step 4: Simplify right side
    116,464x = 63,859,311,616
  5. Step 5: Solve for x
    x = 63,859,311,616/116,464
  6. Step 6: Final answer
    x = 548,318.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.