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Finding the Third Proportional to 208,170.75 and 432,702.75

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Solution

The third proportional to 208,170.75 and 432,702.75 is: 899,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,170.75 : 432,702.75 = 432,702.75 : x
  2. Step 2: Convert to fraction form
    208,170.75/432,702.75 = 432,702.75/x
  3. Step 3: Cross multiply
    208,170.75x = 432,702.75 × 432,702.75
  4. Step 4: Simplify right side
    208,170.75x = 187,231,669,857.56
  5. Step 5: Solve for x
    x = 187,231,669,857.56/208,170.75
  6. Step 6: Final answer
    x = 899,413.92

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.