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Finding the Third Proportional to 117,009 and 243,014

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Solution

The third proportional to 117,009 and 243,014 is: 504,711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 243,014 = 243,014 : x
  2. Step 2: Convert to fraction form
    117,009/243,014 = 243,014/x
  3. Step 3: Cross multiply
    117,009x = 243,014 × 243,014
  4. Step 4: Simplify right side
    117,009x = 59,055,804,196
  5. Step 5: Solve for x
    x = 59,055,804,196/117,009
  6. Step 6: Final answer
    x = 504,711.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.