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Finding the Third Proportional to 164,189 and 354,573

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Solution

The third proportional to 164,189 and 354,573 is: 765,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,189 : 354,573 = 354,573 : x
  2. Step 2: Convert to fraction form
    164,189/354,573 = 354,573/x
  3. Step 3: Cross multiply
    164,189x = 354,573 × 354,573
  4. Step 4: Simplify right side
    164,189x = 125,722,012,329
  5. Step 5: Solve for x
    x = 125,722,012,329/164,189
  6. Step 6: Final answer
    x = 765,715.20

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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.