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Finding the Third Proportional to 170,838 and 362,698.50

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Solution

The third proportional to 170,838 and 362,698.50 is: 770,028.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838 : 362,698.50 = 362,698.50 : x
  2. Step 2: Convert to fraction form
    170,838/362,698.50 = 362,698.50/x
  3. Step 3: Cross multiply
    170,838x = 362,698.50 × 362,698.50
  4. Step 4: Simplify right side
    170,838x = 131,550,201,902.25
  5. Step 5: Solve for x
    x = 131,550,201,902.25/170,838
  6. Step 6: Final answer
    x = 770,028.93

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.