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Finding the Third Proportional to 118,284 and 177,250

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Solution

The third proportional to 118,284 and 177,250 is: 265,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,284 : 177,250 = 177,250 : x
  2. Step 2: Convert to fraction form
    118,284/177,250 = 177,250/x
  3. Step 3: Cross multiply
    118,284x = 177,250 × 177,250
  4. Step 4: Simplify right side
    118,284x = 31,417,562,500
  5. Step 5: Solve for x
    x = 31,417,562,500/118,284
  6. Step 6: Final answer
    x = 265,611.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.