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Finding the Third Proportional to 208,059 and 304,679.50

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Solution

The third proportional to 208,059 and 304,679.50 is: 446,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059 : 304,679.50 = 304,679.50 : x
  2. Step 2: Convert to fraction form
    208,059/304,679.50 = 304,679.50/x
  3. Step 3: Cross multiply
    208,059x = 304,679.50 × 304,679.50
  4. Step 4: Simplify right side
    208,059x = 92,829,597,720.25
  5. Step 5: Solve for x
    x = 92,829,597,720.25/208,059
  6. Step 6: Final answer
    x = 446,169.59

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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.