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Finding the Third Proportional to 94,724 and 205,214

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Solution

The third proportional to 94,724 and 205,214 is: 444,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,724 : 205,214 = 205,214 : x
  2. Step 2: Convert to fraction form
    94,724/205,214 = 205,214/x
  3. Step 3: Cross multiply
    94,724x = 205,214 × 205,214
  4. Step 4: Simplify right side
    94,724x = 42,112,785,796
  5. Step 5: Solve for x
    x = 42,112,785,796/94,724
  6. Step 6: Final answer
    x = 444,584.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.