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Finding the Third Proportional to 188,736.17 and 285,851.53

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Solution

The third proportional to 188,736.17 and 285,851.53 is: 432,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,736.17 : 285,851.53 = 285,851.53 : x
  2. Step 2: Convert to fraction form
    188,736.17/285,851.53 = 285,851.53/x
  3. Step 3: Cross multiply
    188,736.17x = 285,851.53 × 285,851.53
  4. Step 4: Simplify right side
    188,736.17x = 81,711,097,917.97
  5. Step 5: Solve for x
    x = 81,711,097,917.97/188,736.17
  6. Step 6: Final answer
    x = 432,938.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.