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Finding the Third Proportional to 116,937 and 256,889

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Solution

The third proportional to 116,937 and 256,889 is: 564,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,937 : 256,889 = 256,889 : x
  2. Step 2: Convert to fraction form
    116,937/256,889 = 256,889/x
  3. Step 3: Cross multiply
    116,937x = 256,889 × 256,889
  4. Step 4: Simplify right side
    116,937x = 65,991,958,321
  5. Step 5: Solve for x
    x = 65,991,958,321/116,937
  6. Step 6: Final answer
    x = 564,337.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.