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Finding the Third Proportional to 211,552 and 330,200

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Solution

The third proportional to 211,552 and 330,200 is: 515,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,552 : 330,200 = 330,200 : x
  2. Step 2: Convert to fraction form
    211,552/330,200 = 330,200/x
  3. Step 3: Cross multiply
    211,552x = 330,200 × 330,200
  4. Step 4: Simplify right side
    211,552x = 109,032,040,000
  5. Step 5: Solve for x
    x = 109,032,040,000/211,552
  6. Step 6: Final answer
    x = 515,391.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.