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Finding the Third Proportional to 117,009 and 252,697

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Solution

The third proportional to 117,009 and 252,697 is: 545,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 252,697 = 252,697 : x
  2. Step 2: Convert to fraction form
    117,009/252,697 = 252,697/x
  3. Step 3: Cross multiply
    117,009x = 252,697 × 252,697
  4. Step 4: Simplify right side
    117,009x = 63,855,773,809
  5. Step 5: Solve for x
    x = 63,855,773,809/117,009
  6. Step 6: Final answer
    x = 545,733.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.