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Finding the Third Proportional to 208,164 and 451,068

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Solution

The third proportional to 208,164 and 451,068 is: 977,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164 : 451,068 = 451,068 : x
  2. Step 2: Convert to fraction form
    208,164/451,068 = 451,068/x
  3. Step 3: Cross multiply
    208,164x = 451,068 × 451,068
  4. Step 4: Simplify right side
    208,164x = 203,462,340,624
  5. Step 5: Solve for x
    x = 203,462,340,624/208,164
  6. Step 6: Final answer
    x = 977,413.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.