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Finding the Third Proportional to 94,924 and 208,796

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Solution

The third proportional to 94,924 and 208,796 is: 459,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,924 : 208,796 = 208,796 : x
  2. Step 2: Convert to fraction form
    94,924/208,796 = 208,796/x
  3. Step 3: Cross multiply
    94,924x = 208,796 × 208,796
  4. Step 4: Simplify right side
    94,924x = 43,595,769,616
  5. Step 5: Solve for x
    x = 43,595,769,616/94,924
  6. Step 6: Final answer
    x = 459,270.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.