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Finding the Third Proportional to 117,783 and 257,997

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Solution

The third proportional to 117,783 and 257,997 is: 565,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,783 : 257,997 = 257,997 : x
  2. Step 2: Convert to fraction form
    117,783/257,997 = 257,997/x
  3. Step 3: Cross multiply
    117,783x = 257,997 × 257,997
  4. Step 4: Simplify right side
    117,783x = 66,562,452,009
  5. Step 5: Solve for x
    x = 66,562,452,009/117,783
  6. Step 6: Final answer
    x = 565,127.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.