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Finding the Third Proportional to 83,412 and 183,854

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Solution

The third proportional to 83,412 and 183,854 is: 405,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412 : 183,854 = 183,854 : x
  2. Step 2: Convert to fraction form
    83,412/183,854 = 183,854/x
  3. Step 3: Cross multiply
    83,412x = 183,854 × 183,854
  4. Step 4: Simplify right side
    83,412x = 33,802,293,316
  5. Step 5: Solve for x
    x = 33,802,293,316/83,412
  6. Step 6: Final answer
    x = 405,244.97

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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.