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Finding the Third Proportional to 164,041 and 352,503

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Solution

The third proportional to 164,041 and 352,503 is: 757,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041 : 352,503 = 352,503 : x
  2. Step 2: Convert to fraction form
    164,041/352,503 = 352,503/x
  3. Step 3: Cross multiply
    164,041x = 352,503 × 352,503
  4. Step 4: Simplify right side
    164,041x = 124,258,365,009
  5. Step 5: Solve for x
    x = 124,258,365,009/164,041
  6. Step 6: Final answer
    x = 757,483.59

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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.