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Finding the Third Proportional to 177,454.55 and 389,320.17

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Solution

The third proportional to 177,454.55 and 389,320.17 is: 854,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,454.55 : 389,320.17 = 389,320.17 : x
  2. Step 2: Convert to fraction form
    177,454.55/389,320.17 = 389,320.17/x
  3. Step 3: Cross multiply
    177,454.55x = 389,320.17 × 389,320.17
  4. Step 4: Simplify right side
    177,454.55x = 151,570,196,228.78
  5. Step 5: Solve for x
    x = 151,570,196,228.78/177,454.55
  6. Step 6: Final answer
    x = 854,135.32

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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.