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Finding the Third Proportional to 197,984.25 and 268,985.81

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Solution

The third proportional to 197,984.25 and 268,985.81 is: 365,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,984.25 : 268,985.81 = 268,985.81 : x
  2. Step 2: Convert to fraction form
    197,984.25/268,985.81 = 268,985.81/x
  3. Step 3: Cross multiply
    197,984.25x = 268,985.81 × 268,985.81
  4. Step 4: Simplify right side
    197,984.25x = 72,353,367,326.29
  5. Step 5: Solve for x
    x = 72,353,367,326.29/197,984.25
  6. Step 6: Final answer
    x = 365,450.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.