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Finding the Third Proportional to 237,021.75 and 518,384.25

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Solution

The third proportional to 237,021.75 and 518,384.25 is: 1,133,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,021.75 : 518,384.25 = 518,384.25 : x
  2. Step 2: Convert to fraction form
    237,021.75/518,384.25 = 518,384.25/x
  3. Step 3: Cross multiply
    237,021.75x = 518,384.25 × 518,384.25
  4. Step 4: Simplify right side
    237,021.75x = 268,722,230,648.06
  5. Step 5: Solve for x
    x = 268,722,230,648.06/237,021.75
  6. Step 6: Final answer
    x = 1,133,745.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.