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Finding the Third Proportional to 156,111 and 335,903

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Solution

The third proportional to 156,111 and 335,903 is: 722,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,111 : 335,903 = 335,903 : x
  2. Step 2: Convert to fraction form
    156,111/335,903 = 335,903/x
  3. Step 3: Cross multiply
    156,111x = 335,903 × 335,903
  4. Step 4: Simplify right side
    156,111x = 112,830,825,409
  5. Step 5: Solve for x
    x = 112,830,825,409/156,111
  6. Step 6: Final answer
    x = 722,760.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.