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Finding the Third Proportional to 164,119.50 and 339,619.50

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Solution

The third proportional to 164,119.50 and 339,619.50 is: 702,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,119.50 : 339,619.50 = 339,619.50 : x
  2. Step 2: Convert to fraction form
    164,119.50/339,619.50 = 339,619.50/x
  3. Step 3: Cross multiply
    164,119.50x = 339,619.50 × 339,619.50
  4. Step 4: Simplify right side
    164,119.50x = 115,341,404,780.25
  5. Step 5: Solve for x
    x = 115,341,404,780.25/164,119.50
  6. Step 6: Final answer
    x = 702,789.16

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.