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Finding the Third Proportional to 179,189.72 and 384,944.06

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Solution

The third proportional to 179,189.72 and 384,944.06 is: 826,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,189.72 : 384,944.06 = 384,944.06 : x
  2. Step 2: Convert to fraction form
    179,189.72/384,944.06 = 384,944.06/x
  3. Step 3: Cross multiply
    179,189.72x = 384,944.06 × 384,944.06
  4. Step 4: Simplify right side
    179,189.72x = 148,181,931,254.00
  5. Step 5: Solve for x
    x = 148,181,931,254.00/179,189.72
  6. Step 6: Final answer
    x = 826,955.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.