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Finding the Third Proportional to 94,336 and 205,328

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Solution

The third proportional to 94,336 and 205,328 is: 446,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,336 : 205,328 = 205,328 : x
  2. Step 2: Convert to fraction form
    94,336/205,328 = 205,328/x
  3. Step 3: Cross multiply
    94,336x = 205,328 × 205,328
  4. Step 4: Simplify right side
    94,336x = 42,159,587,584
  5. Step 5: Solve for x
    x = 42,159,587,584/94,336
  6. Step 6: Final answer
    x = 446,908.79

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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.