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Finding the Third Proportional to 166,833 and 355,812.75

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Solution

The third proportional to 166,833 and 355,812.75 is: 758,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,833 : 355,812.75 = 355,812.75 : x
  2. Step 2: Convert to fraction form
    166,833/355,812.75 = 355,812.75/x
  3. Step 3: Cross multiply
    166,833x = 355,812.75 × 355,812.75
  4. Step 4: Simplify right side
    166,833x = 126,602,713,062.56
  5. Step 5: Solve for x
    x = 126,602,713,062.56/166,833
  6. Step 6: Final answer
    x = 758,858.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.