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Finding the Third Proportional to 119,993.50 and 257,794.25

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Solution

The third proportional to 119,993.50 and 257,794.25 is: 553,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,993.50 : 257,794.25 = 257,794.25 : x
  2. Step 2: Convert to fraction form
    119,993.50/257,794.25 = 257,794.25/x
  3. Step 3: Cross multiply
    119,993.50x = 257,794.25 × 257,794.25
  4. Step 4: Simplify right side
    119,993.50x = 66,457,875,333.06
  5. Step 5: Solve for x
    x = 66,457,875,333.06/119,993.50
  6. Step 6: Final answer
    x = 553,845.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.