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Finding the Third Proportional to 211,072.50 and 444,015

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Solution

The third proportional to 211,072.50 and 444,015 is: 934,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,072.50 : 444,015 = 444,015 : x
  2. Step 2: Convert to fraction form
    211,072.50/444,015 = 444,015/x
  3. Step 3: Cross multiply
    211,072.50x = 444,015 × 444,015
  4. Step 4: Simplify right side
    211,072.50x = 197,149,320,225
  5. Step 5: Solve for x
    x = 197,149,320,225/211,072.50
  6. Step 6: Final answer
    x = 934,036.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.