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Finding the Third Proportional to 208,266 and 304,504.50

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Solution

The third proportional to 208,266 and 304,504.50 is: 445,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,266 : 304,504.50 = 304,504.50 : x
  2. Step 2: Convert to fraction form
    208,266/304,504.50 = 304,504.50/x
  3. Step 3: Cross multiply
    208,266x = 304,504.50 × 304,504.50
  4. Step 4: Simplify right side
    208,266x = 92,722,990,520.25
  5. Step 5: Solve for x
    x = 92,722,990,520.25/208,266
  6. Step 6: Final answer
    x = 445,214.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.