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Finding the Third Proportional to 211,413.38 and 323,817.75

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Solution

The third proportional to 211,413.38 and 323,817.75 is: 495,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,413.38 : 323,817.75 = 323,817.75 : x
  2. Step 2: Convert to fraction form
    211,413.38/323,817.75 = 323,817.75/x
  3. Step 3: Cross multiply
    211,413.38x = 323,817.75 × 323,817.75
  4. Step 4: Simplify right side
    211,413.38x = 104,857,935,215.06
  5. Step 5: Solve for x
    x = 104,857,935,215.06/211,413.38
  6. Step 6: Final answer
    x = 495,985.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.