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Finding the Third Proportional to 161,004 and 353,880

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Solution

The third proportional to 161,004 and 353,880 is: 777,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,004 : 353,880 = 353,880 : x
  2. Step 2: Convert to fraction form
    161,004/353,880 = 353,880/x
  3. Step 3: Cross multiply
    161,004x = 353,880 × 353,880
  4. Step 4: Simplify right side
    161,004x = 125,231,054,400
  5. Step 5: Solve for x
    x = 125,231,054,400/161,004
  6. Step 6: Final answer
    x = 777,813.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.