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Finding the Third Proportional to 193,077 and 416,751.75

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Solution

The third proportional to 193,077 and 416,751.75 is: 899,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,077 : 416,751.75 = 416,751.75 : x
  2. Step 2: Convert to fraction form
    193,077/416,751.75 = 416,751.75/x
  3. Step 3: Cross multiply
    193,077x = 416,751.75 × 416,751.75
  4. Step 4: Simplify right side
    193,077x = 173,682,021,128.06
  5. Step 5: Solve for x
    x = 173,682,021,128.06/193,077
  6. Step 6: Final answer
    x = 899,547.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.