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Finding the Third Proportional to 211,601 and 287,056.50

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Solution

The third proportional to 211,601 and 287,056.50 is: 389,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,601 : 287,056.50 = 287,056.50 : x
  2. Step 2: Convert to fraction form
    211,601/287,056.50 = 287,056.50/x
  3. Step 3: Cross multiply
    211,601x = 287,056.50 × 287,056.50
  4. Step 4: Simplify right side
    211,601x = 82,401,434,192.25
  5. Step 5: Solve for x
    x = 82,401,434,192.25/211,601
  6. Step 6: Final answer
    x = 389,418.93

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