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Finding the Third Proportional to 204,485.50 and 312,264

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Solution

The third proportional to 204,485.50 and 312,264 is: 476,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,485.50 : 312,264 = 312,264 : x
  2. Step 2: Convert to fraction form
    204,485.50/312,264 = 312,264/x
  3. Step 3: Cross multiply
    204,485.50x = 312,264 × 312,264
  4. Step 4: Simplify right side
    204,485.50x = 97,508,805,696
  5. Step 5: Solve for x
    x = 97,508,805,696/204,485.50
  6. Step 6: Final answer
    x = 476,849.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.