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Finding the Third Proportional to 117,305 and 257,937

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Solution

The third proportional to 117,305 and 257,937 is: 567,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,305 : 257,937 = 257,937 : x
  2. Step 2: Convert to fraction form
    117,305/257,937 = 257,937/x
  3. Step 3: Cross multiply
    117,305x = 257,937 × 257,937
  4. Step 4: Simplify right side
    117,305x = 66,531,495,969
  5. Step 5: Solve for x
    x = 66,531,495,969/117,305
  6. Step 6: Final answer
    x = 567,166.75

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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.