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Finding the Third Proportional to 167,006 and 339,842

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Solution

The third proportional to 167,006 and 339,842 is: 691,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,006 : 339,842 = 339,842 : x
  2. Step 2: Convert to fraction form
    167,006/339,842 = 339,842/x
  3. Step 3: Cross multiply
    167,006x = 339,842 × 339,842
  4. Step 4: Simplify right side
    167,006x = 115,492,584,964
  5. Step 5: Solve for x
    x = 115,492,584,964/167,006
  6. Step 6: Final answer
    x = 691,547.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.