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Finding the Third Proportional to 83,080 and 183,344

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Solution

The third proportional to 83,080 and 183,344 is: 404,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080 : 183,344 = 183,344 : x
  2. Step 2: Convert to fraction form
    83,080/183,344 = 183,344/x
  3. Step 3: Cross multiply
    83,080x = 183,344 × 183,344
  4. Step 4: Simplify right side
    83,080x = 33,615,022,336
  5. Step 5: Solve for x
    x = 33,615,022,336/83,080
  6. Step 6: Final answer
    x = 404,610.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.