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Finding the Third Proportional to 177,944.63 and 370,652.63

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Solution

The third proportional to 177,944.63 and 370,652.63 is: 772,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,944.63 : 370,652.63 = 370,652.63 : x
  2. Step 2: Convert to fraction form
    177,944.63/370,652.63 = 370,652.63/x
  3. Step 3: Cross multiply
    177,944.63x = 370,652.63 × 370,652.63
  4. Step 4: Simplify right side
    177,944.63x = 137,383,368,419.39
  5. Step 5: Solve for x
    x = 137,383,368,419.39/177,944.63
  6. Step 6: Final answer
    x = 772,056.86

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