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Finding the Third Proportional to 176,129.44 and 385,489.13

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Solution

The third proportional to 176,129.44 and 385,489.13 is: 843,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,129.44 : 385,489.13 = 385,489.13 : x
  2. Step 2: Convert to fraction form
    176,129.44/385,489.13 = 385,489.13/x
  3. Step 3: Cross multiply
    176,129.44x = 385,489.13 × 385,489.13
  4. Step 4: Simplify right side
    176,129.44x = 148,601,865,493.27
  5. Step 5: Solve for x
    x = 148,601,865,493.27/176,129.44
  6. Step 6: Final answer
    x = 843,708.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.