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Finding the Third Proportional to 167,008 and 357,356

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Solution

The third proportional to 167,008 and 357,356 is: 764,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,008 : 357,356 = 357,356 : x
  2. Step 2: Convert to fraction form
    167,008/357,356 = 357,356/x
  3. Step 3: Cross multiply
    167,008x = 357,356 × 357,356
  4. Step 4: Simplify right side
    167,008x = 127,703,310,736
  5. Step 5: Solve for x
    x = 127,703,310,736/167,008
  6. Step 6: Final answer
    x = 764,653.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.