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Finding the Third Proportional to 199,167 and 304,558.50

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Solution

The third proportional to 199,167 and 304,558.50 is: 465,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,167 : 304,558.50 = 304,558.50 : x
  2. Step 2: Convert to fraction form
    199,167/304,558.50 = 304,558.50/x
  3. Step 3: Cross multiply
    199,167x = 304,558.50 × 304,558.50
  4. Step 4: Simplify right side
    199,167x = 92,755,879,922.25
  5. Step 5: Solve for x
    x = 92,755,879,922.25/199,167
  6. Step 6: Final answer
    x = 465,719.12

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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.