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Finding the Third Proportional to 238,921.50 and 513,258.75

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Solution

The third proportional to 238,921.50 and 513,258.75 is: 1,102,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,921.50 : 513,258.75 = 513,258.75 : x
  2. Step 2: Convert to fraction form
    238,921.50/513,258.75 = 513,258.75/x
  3. Step 3: Cross multiply
    238,921.50x = 513,258.75 × 513,258.75
  4. Step 4: Simplify right side
    238,921.50x = 263,434,544,451.56
  5. Step 5: Solve for x
    x = 263,434,544,451.56/238,921.50
  6. Step 6: Final answer
    x = 1,102,598.74

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