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Finding the Third Proportional to 211,120 and 282,000

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Solution

The third proportional to 211,120 and 282,000 is: 376,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,120 : 282,000 = 282,000 : x
  2. Step 2: Convert to fraction form
    211,120/282,000 = 282,000/x
  3. Step 3: Cross multiply
    211,120x = 282,000 × 282,000
  4. Step 4: Simplify right side
    211,120x = 79,524,000,000
  5. Step 5: Solve for x
    x = 79,524,000,000/211,120
  6. Step 6: Final answer
    x = 376,676.77

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.