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Finding the Third Proportional to 119,998.50 and 257,074.50

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Solution

The third proportional to 119,998.50 and 257,074.50 is: 550,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,998.50 : 257,074.50 = 257,074.50 : x
  2. Step 2: Convert to fraction form
    119,998.50/257,074.50 = 257,074.50/x
  3. Step 3: Cross multiply
    119,998.50x = 257,074.50 × 257,074.50
  4. Step 4: Simplify right side
    119,998.50x = 66,087,298,550.25
  5. Step 5: Solve for x
    x = 66,087,298,550.25/119,998.50
  6. Step 6: Final answer
    x = 550,734.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.