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Finding the Third Proportional to 118,560 and 180,795

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Solution

The third proportional to 118,560 and 180,795 is: 275,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,560 : 180,795 = 180,795 : x
  2. Step 2: Convert to fraction form
    118,560/180,795 = 180,795/x
  3. Step 3: Cross multiply
    118,560x = 180,795 × 180,795
  4. Step 4: Simplify right side
    118,560x = 32,686,832,025
  5. Step 5: Solve for x
    x = 32,686,832,025/118,560
  6. Step 6: Final answer
    x = 275,698.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.