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Finding the Third Proportional to 170,299 and 401,441.50

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Solution

The third proportional to 170,299 and 401,441.50 is: 946,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,299 : 401,441.50 = 401,441.50 : x
  2. Step 2: Convert to fraction form
    170,299/401,441.50 = 401,441.50/x
  3. Step 3: Cross multiply
    170,299x = 401,441.50 × 401,441.50
  4. Step 4: Simplify right side
    170,299x = 161,155,277,922.25
  5. Step 5: Solve for x
    x = 161,155,277,922.25/170,299
  6. Step 6: Final answer
    x = 946,307.83

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.