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Finding the Third Proportional to 199,791 and 304,672.50

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Solution

The third proportional to 199,791 and 304,672.50 is: 464,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791 : 304,672.50 = 304,672.50 : x
  2. Step 2: Convert to fraction form
    199,791/304,672.50 = 304,672.50/x
  3. Step 3: Cross multiply
    199,791x = 304,672.50 × 304,672.50
  4. Step 4: Simplify right side
    199,791x = 92,825,332,256.25
  5. Step 5: Solve for x
    x = 92,825,332,256.25/199,791
  6. Step 6: Final answer
    x = 464,612.18

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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.