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Finding the Third Proportional to 170,022 and 352,328

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Solution

The third proportional to 170,022 and 352,328 is: 730,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,022 : 352,328 = 352,328 : x
  2. Step 2: Convert to fraction form
    170,022/352,328 = 352,328/x
  3. Step 3: Cross multiply
    170,022x = 352,328 × 352,328
  4. Step 4: Simplify right side
    170,022x = 124,135,019,584
  5. Step 5: Solve for x
    x = 124,135,019,584/170,022
  6. Step 6: Final answer
    x = 730,111.51

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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.