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Finding the Third Proportional to 177,876 and 254,785.50

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Solution

The third proportional to 177,876 and 254,785.50 is: 364,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,876 : 254,785.50 = 254,785.50 : x
  2. Step 2: Convert to fraction form
    177,876/254,785.50 = 254,785.50/x
  3. Step 3: Cross multiply
    177,876x = 254,785.50 × 254,785.50
  4. Step 4: Simplify right side
    177,876x = 64,915,651,010.25
  5. Step 5: Solve for x
    x = 64,915,651,010.25/177,876
  6. Step 6: Final answer
    x = 364,948.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.