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Finding the Third Proportional to 82,250 and 170,326

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Solution

The third proportional to 82,250 and 170,326 is: 352,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,250 : 170,326 = 170,326 : x
  2. Step 2: Convert to fraction form
    82,250/170,326 = 170,326/x
  3. Step 3: Cross multiply
    82,250x = 170,326 × 170,326
  4. Step 4: Simplify right side
    82,250x = 29,010,946,276
  5. Step 5: Solve for x
    x = 29,010,946,276/82,250
  6. Step 6: Final answer
    x = 352,716.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.