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Finding the Third Proportional to 211,598.25 and 287,052.75

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Solution

The third proportional to 211,598.25 and 287,052.75 is: 389,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,598.25 : 287,052.75 = 287,052.75 : x
  2. Step 2: Convert to fraction form
    211,598.25/287,052.75 = 287,052.75/x
  3. Step 3: Cross multiply
    211,598.25x = 287,052.75 × 287,052.75
  4. Step 4: Simplify right side
    211,598.25x = 82,399,281,282.56
  5. Step 5: Solve for x
    x = 82,399,281,282.56/211,598.25
  6. Step 6: Final answer
    x = 389,413.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.