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Finding the Third Proportional to 199,291.68 and 302,628.14

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Solution

The third proportional to 199,291.68 and 302,628.14 is: 459,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,291.68 : 302,628.14 = 302,628.14 : x
  2. Step 2: Convert to fraction form
    199,291.68/302,628.14 = 302,628.14/x
  3. Step 3: Cross multiply
    199,291.68x = 302,628.14 × 302,628.14
  4. Step 4: Simplify right side
    199,291.68x = 91,583,792,384.75
  5. Step 5: Solve for x
    x = 91,583,792,384.75/199,291.68
  6. Step 6: Final answer
    x = 459,546.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.