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Finding the Third Proportional to 177,458.63 and 389,328.75

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Solution

The third proportional to 177,458.63 and 389,328.75 is: 854,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,458.63 : 389,328.75 = 389,328.75 : x
  2. Step 2: Convert to fraction form
    177,458.63/389,328.75 = 389,328.75/x
  3. Step 3: Cross multiply
    177,458.63x = 389,328.75 × 389,328.75
  4. Step 4: Simplify right side
    177,458.63x = 151,576,875,576.56
  5. Step 5: Solve for x
    x = 151,576,875,576.56/177,458.63
  6. Step 6: Final answer
    x = 854,153.33

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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.