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Finding the Third Proportional to 170,701 and 258,409.50

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Solution

The third proportional to 170,701 and 258,409.50 is: 391,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,701 : 258,409.50 = 258,409.50 : x
  2. Step 2: Convert to fraction form
    170,701/258,409.50 = 258,409.50/x
  3. Step 3: Cross multiply
    170,701x = 258,409.50 × 258,409.50
  4. Step 4: Simplify right side
    170,701x = 66,775,469,690.25
  5. Step 5: Solve for x
    x = 66,775,469,690.25/170,701
  6. Step 6: Final answer
    x = 391,183.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.