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Finding the Third Proportional to 136,039.50 and 301,684.50

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Solution

The third proportional to 136,039.50 and 301,684.50 is: 669,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,039.50 : 301,684.50 = 301,684.50 : x
  2. Step 2: Convert to fraction form
    136,039.50/301,684.50 = 301,684.50/x
  3. Step 3: Cross multiply
    136,039.50x = 301,684.50 × 301,684.50
  4. Step 4: Simplify right side
    136,039.50x = 91,013,537,540.25
  5. Step 5: Solve for x
    x = 91,013,537,540.25/136,039.50
  6. Step 6: Final answer
    x = 669,022.88

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.