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Finding the Third Proportional to 143,953.50 and 334,645.50

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Solution

The third proportional to 143,953.50 and 334,645.50 is: 777,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,953.50 : 334,645.50 = 334,645.50 : x
  2. Step 2: Convert to fraction form
    143,953.50/334,645.50 = 334,645.50/x
  3. Step 3: Cross multiply
    143,953.50x = 334,645.50 × 334,645.50
  4. Step 4: Simplify right side
    143,953.50x = 111,987,610,670.25
  5. Step 5: Solve for x
    x = 111,987,610,670.25/143,953.50
  6. Step 6: Final answer
    x = 777,942.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.