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Finding the Third Proportional to 116,902 and 253,729

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Solution

The third proportional to 116,902 and 253,729 is: 550,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,902 : 253,729 = 253,729 : x
  2. Step 2: Convert to fraction form
    116,902/253,729 = 253,729/x
  3. Step 3: Cross multiply
    116,902x = 253,729 × 253,729
  4. Step 4: Simplify right side
    116,902x = 64,378,405,441
  5. Step 5: Solve for x
    x = 64,378,405,441/116,902
  6. Step 6: Final answer
    x = 550,704.06

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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.