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Finding the Third Proportional to 188,893.69 and 285,158.81

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Solution

The third proportional to 188,893.69 and 285,158.81 is: 430,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,893.69 : 285,158.81 = 285,158.81 : x
  2. Step 2: Convert to fraction form
    188,893.69/285,158.81 = 285,158.81/x
  3. Step 3: Cross multiply
    188,893.69x = 285,158.81 × 285,158.81
  4. Step 4: Simplify right side
    188,893.69x = 81,315,548,346.41
  5. Step 5: Solve for x
    x = 81,315,548,346.41/188,893.69
  6. Step 6: Final answer
    x = 430,483.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.