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Finding the Third Proportional to 181,885.50 and 424,865.25

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Solution

The third proportional to 181,885.50 and 424,865.25 is: 992,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,885.50 : 424,865.25 = 424,865.25 : x
  2. Step 2: Convert to fraction form
    181,885.50/424,865.25 = 424,865.25/x
  3. Step 3: Cross multiply
    181,885.50x = 424,865.25 × 424,865.25
  4. Step 4: Simplify right side
    181,885.50x = 180,510,480,657.56
  5. Step 5: Solve for x
    x = 180,510,480,657.56/181,885.50
  6. Step 6: Final answer
    x = 992,440.19

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.