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Finding the Third Proportional to 164,198 and 354,590

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Solution

The third proportional to 164,198 and 354,590 is: 765,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,198 : 354,590 = 354,590 : x
  2. Step 2: Convert to fraction form
    164,198/354,590 = 354,590/x
  3. Step 3: Cross multiply
    164,198x = 354,590 × 354,590
  4. Step 4: Simplify right side
    164,198x = 125,734,068,100
  5. Step 5: Solve for x
    x = 125,734,068,100/164,198
  6. Step 6: Final answer
    x = 765,746.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.