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Finding the Third Proportional to 170,610 and 352,148

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Solution

The third proportional to 170,610 and 352,148 is: 726,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,610 : 352,148 = 352,148 : x
  2. Step 2: Convert to fraction form
    170,610/352,148 = 352,148/x
  3. Step 3: Cross multiply
    170,610x = 352,148 × 352,148
  4. Step 4: Simplify right side
    170,610x = 124,008,213,904
  5. Step 5: Solve for x
    x = 124,008,213,904/170,610
  6. Step 6: Final answer
    x = 726,851.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.