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Finding the Third Proportional to 176,945.25 and 384,993

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Solution

The third proportional to 176,945.25 and 384,993 is: 837,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,945.25 : 384,993 = 384,993 : x
  2. Step 2: Convert to fraction form
    176,945.25/384,993 = 384,993/x
  3. Step 3: Cross multiply
    176,945.25x = 384,993 × 384,993
  4. Step 4: Simplify right side
    176,945.25x = 148,219,610,049
  5. Step 5: Solve for x
    x = 148,219,610,049/176,945.25
  6. Step 6: Final answer
    x = 837,658.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.