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Finding the Third Proportional to 164,026 and 352,778

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Solution

The third proportional to 164,026 and 352,778 is: 758,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,026 : 352,778 = 352,778 : x
  2. Step 2: Convert to fraction form
    164,026/352,778 = 352,778/x
  3. Step 3: Cross multiply
    164,026x = 352,778 × 352,778
  4. Step 4: Simplify right side
    164,026x = 124,452,317,284
  5. Step 5: Solve for x
    x = 124,452,317,284/164,026
  6. Step 6: Final answer
    x = 758,735.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.