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Finding the Third Proportional to 164,268 and 357,336

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Solution

The third proportional to 164,268 and 357,336 is: 777,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,268 : 357,336 = 357,336 : x
  2. Step 2: Convert to fraction form
    164,268/357,336 = 357,336/x
  3. Step 3: Cross multiply
    164,268x = 357,336 × 357,336
  4. Step 4: Simplify right side
    164,268x = 127,689,016,896
  5. Step 5: Solve for x
    x = 127,689,016,896/164,268
  6. Step 6: Final answer
    x = 777,321.31

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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.