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Finding the Third Proportional to 268,242.50 and 405,099.50

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Solution

The third proportional to 268,242.50 and 405,099.50 is: 611,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,242.50 : 405,099.50 = 405,099.50 : x
  2. Step 2: Convert to fraction form
    268,242.50/405,099.50 = 405,099.50/x
  3. Step 3: Cross multiply
    268,242.50x = 405,099.50 × 405,099.50
  4. Step 4: Simplify right side
    268,242.50x = 164,105,604,900.25
  5. Step 5: Solve for x
    x = 164,105,604,900.25/268,242.50
  6. Step 6: Final answer
    x = 611,780.78

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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.