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Finding the Third Proportional to 181,683 and 430,879.50

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Solution

The third proportional to 181,683 and 430,879.50 is: 1,021,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,683 : 430,879.50 = 430,879.50 : x
  2. Step 2: Convert to fraction form
    181,683/430,879.50 = 430,879.50/x
  3. Step 3: Cross multiply
    181,683x = 430,879.50 × 430,879.50
  4. Step 4: Simplify right side
    181,683x = 185,657,143,520.25
  5. Step 5: Solve for x
    x = 185,657,143,520.25/181,683
  6. Step 6: Final answer
    x = 1,021,874.05

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.