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Finding the Third Proportional to 94,724 and 204,205

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Solution

The third proportional to 94,724 and 204,205 is: 440,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,724 : 204,205 = 204,205 : x
  2. Step 2: Convert to fraction form
    94,724/204,205 = 204,205/x
  3. Step 3: Cross multiply
    94,724x = 204,205 × 204,205
  4. Step 4: Simplify right side
    94,724x = 41,699,682,025
  5. Step 5: Solve for x
    x = 41,699,682,025/94,724
  6. Step 6: Final answer
    x = 440,222.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.