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Finding the Third Proportional to 168,619 and 357,002

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Solution

The third proportional to 168,619 and 357,002 is: 755,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,619 : 357,002 = 357,002 : x
  2. Step 2: Convert to fraction form
    168,619/357,002 = 357,002/x
  3. Step 3: Cross multiply
    168,619x = 357,002 × 357,002
  4. Step 4: Simplify right side
    168,619x = 127,450,428,004
  5. Step 5: Solve for x
    x = 127,450,428,004/168,619
  6. Step 6: Final answer
    x = 755,848.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.