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Finding the Third Proportional to 163,804 and 345,100

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Solution

The third proportional to 163,804 and 345,100 is: 727,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,804 : 345,100 = 345,100 : x
  2. Step 2: Convert to fraction form
    163,804/345,100 = 345,100/x
  3. Step 3: Cross multiply
    163,804x = 345,100 × 345,100
  4. Step 4: Simplify right side
    163,804x = 119,094,010,000
  5. Step 5: Solve for x
    x = 119,094,010,000/163,804
  6. Step 6: Final answer
    x = 727,051.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.