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Finding the Third Proportional to 117,202 and 180,667

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Solution

The third proportional to 117,202 and 180,667 is: 278,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,202 : 180,667 = 180,667 : x
  2. Step 2: Convert to fraction form
    117,202/180,667 = 180,667/x
  3. Step 3: Cross multiply
    117,202x = 180,667 × 180,667
  4. Step 4: Simplify right side
    117,202x = 32,640,564,889
  5. Step 5: Solve for x
    x = 32,640,564,889/117,202
  6. Step 6: Final answer
    x = 278,498.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.