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Finding the Third Proportional to 204,021.75 and 306,032.63

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Solution

The third proportional to 204,021.75 and 306,032.63 is: 459,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,021.75 : 306,032.63 = 306,032.63 : x
  2. Step 2: Convert to fraction form
    204,021.75/306,032.63 = 306,032.63/x
  3. Step 3: Cross multiply
    204,021.75x = 306,032.63 × 306,032.63
  4. Step 4: Simplify right side
    204,021.75x = 93,655,967,564.39
  5. Step 5: Solve for x
    x = 93,655,967,564.39/204,021.75
  6. Step 6: Final answer
    x = 459,048.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.