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Finding the Third Proportional to 150,258.75 and 214,856.25

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Solution

The third proportional to 150,258.75 and 214,856.25 is: 307,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,258.75 : 214,856.25 = 214,856.25 : x
  2. Step 2: Convert to fraction form
    150,258.75/214,856.25 = 214,856.25/x
  3. Step 3: Cross multiply
    150,258.75x = 214,856.25 × 214,856.25
  4. Step 4: Simplify right side
    150,258.75x = 46,163,208,164.06
  5. Step 5: Solve for x
    x = 46,163,208,164.06/150,258.75
  6. Step 6: Final answer
    x = 307,224.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.