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Finding the Third Proportional to 104,710 and 232,652

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Solution

The third proportional to 104,710 and 232,652 is: 516,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,710 : 232,652 = 232,652 : x
  2. Step 2: Convert to fraction form
    104,710/232,652 = 232,652/x
  3. Step 3: Cross multiply
    104,710x = 232,652 × 232,652
  4. Step 4: Simplify right side
    104,710x = 54,126,953,104
  5. Step 5: Solve for x
    x = 54,126,953,104/104,710
  6. Step 6: Final answer
    x = 516,922.48

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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.