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Finding the Third Proportional to 168,998 and 357,004

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Solution

The third proportional to 168,998 and 357,004 is: 754,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,998 : 357,004 = 357,004 : x
  2. Step 2: Convert to fraction form
    168,998/357,004 = 357,004/x
  3. Step 3: Cross multiply
    168,998x = 357,004 × 357,004
  4. Step 4: Simplify right side
    168,998x = 127,451,856,016
  5. Step 5: Solve for x
    x = 127,451,856,016/168,998
  6. Step 6: Final answer
    x = 754,161.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.