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Finding the Third Proportional to 167,196 and 338,712

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Solution

The third proportional to 167,196 and 338,712 is: 686,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,196 : 338,712 = 338,712 : x
  2. Step 2: Convert to fraction form
    167,196/338,712 = 338,712/x
  3. Step 3: Cross multiply
    167,196x = 338,712 × 338,712
  4. Step 4: Simplify right side
    167,196x = 114,725,818,944
  5. Step 5: Solve for x
    x = 114,725,818,944/167,196
  6. Step 6: Final answer
    x = 686,175.62

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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.