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Finding the Third Proportional to 118,993.50 and 250,258.50

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Solution

The third proportional to 118,993.50 and 250,258.50 is: 526,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,993.50 : 250,258.50 = 250,258.50 : x
  2. Step 2: Convert to fraction form
    118,993.50/250,258.50 = 250,258.50/x
  3. Step 3: Cross multiply
    118,993.50x = 250,258.50 × 250,258.50
  4. Step 4: Simplify right side
    118,993.50x = 62,629,316,822.25
  5. Step 5: Solve for x
    x = 62,629,316,822.25/118,993.50
  6. Step 6: Final answer
    x = 526,325.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.