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Finding the Third Proportional to 94,893 and 205,370

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Solution

The third proportional to 94,893 and 205,370 is: 444,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,893 : 205,370 = 205,370 : x
  2. Step 2: Convert to fraction form
    94,893/205,370 = 205,370/x
  3. Step 3: Cross multiply
    94,893x = 205,370 × 205,370
  4. Step 4: Simplify right side
    94,893x = 42,176,836,900
  5. Step 5: Solve for x
    x = 42,176,836,900/94,893
  6. Step 6: Final answer
    x = 444,467.31

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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.