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Finding the Third Proportional to 181,293.75 and 384,199.50

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Solution

The third proportional to 181,293.75 and 384,199.50 is: 814,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,293.75 : 384,199.50 = 384,199.50 : x
  2. Step 2: Convert to fraction form
    181,293.75/384,199.50 = 384,199.50/x
  3. Step 3: Cross multiply
    181,293.75x = 384,199.50 × 384,199.50
  4. Step 4: Simplify right side
    181,293.75x = 147,609,255,800.25
  5. Step 5: Solve for x
    x = 147,609,255,800.25/181,293.75
  6. Step 6: Final answer
    x = 814,199.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.