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Finding the Third Proportional to 208,662.75 and 304,246.13

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Solution

The third proportional to 208,662.75 and 304,246.13 is: 443,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,662.75 : 304,246.13 = 304,246.13 : x
  2. Step 2: Convert to fraction form
    208,662.75/304,246.13 = 304,246.13/x
  3. Step 3: Cross multiply
    208,662.75x = 304,246.13 × 304,246.13
  4. Step 4: Simplify right side
    208,662.75x = 92,565,704,577.52
  5. Step 5: Solve for x
    x = 92,565,704,577.52/208,662.75
  6. Step 6: Final answer
    x = 443,613.94

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Why These Related Problems?

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