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Finding the Third Proportional to 104,704 and 232,628

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Solution

The third proportional to 104,704 and 232,628 is: 516,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,704 : 232,628 = 232,628 : x
  2. Step 2: Convert to fraction form
    104,704/232,628 = 232,628/x
  3. Step 3: Cross multiply
    104,704x = 232,628 × 232,628
  4. Step 4: Simplify right side
    104,704x = 54,115,786,384
  5. Step 5: Solve for x
    x = 54,115,786,384/104,704
  6. Step 6: Final answer
    x = 516,845.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.