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Finding the Third Proportional to 94,340 and 205,336

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Solution

The third proportional to 94,340 and 205,336 is: 446,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,340 : 205,336 = 205,336 : x
  2. Step 2: Convert to fraction form
    94,340/205,336 = 205,336/x
  3. Step 3: Cross multiply
    94,340x = 205,336 × 205,336
  4. Step 4: Simplify right side
    94,340x = 42,162,872,896
  5. Step 5: Solve for x
    x = 42,162,872,896/94,340
  6. Step 6: Final answer
    x = 446,924.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.