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Finding the Third Proportional to 83,234.50 and 183,436

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Solution

The third proportional to 83,234.50 and 183,436 is: 404,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234.50 : 183,436 = 183,436 : x
  2. Step 2: Convert to fraction form
    83,234.50/183,436 = 183,436/x
  3. Step 3: Cross multiply
    83,234.50x = 183,436 × 183,436
  4. Step 4: Simplify right side
    83,234.50x = 33,648,766,096
  5. Step 5: Solve for x
    x = 33,648,766,096/83,234.50
  6. Step 6: Final answer
    x = 404,264.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.