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Finding the Third Proportional to 167,854 and 373,004

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Solution

The third proportional to 167,854 and 373,004 is: 828,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,854 : 373,004 = 373,004 : x
  2. Step 2: Convert to fraction form
    167,854/373,004 = 373,004/x
  3. Step 3: Cross multiply
    167,854x = 373,004 × 373,004
  4. Step 4: Simplify right side
    167,854x = 139,131,984,016
  5. Step 5: Solve for x
    x = 139,131,984,016/167,854
  6. Step 6: Final answer
    x = 828,886.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.