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Finding the Third Proportional to 164,048 and 357,744

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Solution

The third proportional to 164,048 and 357,744 is: 780,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,048 : 357,744 = 357,744 : x
  2. Step 2: Convert to fraction form
    164,048/357,744 = 357,744/x
  3. Step 3: Cross multiply
    164,048x = 357,744 × 357,744
  4. Step 4: Simplify right side
    164,048x = 127,980,769,536
  5. Step 5: Solve for x
    x = 127,980,769,536/164,048
  6. Step 6: Final answer
    x = 780,142.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.