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Finding the Third Proportional to 237,201.75 and 510,671.25

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Solution

The third proportional to 237,201.75 and 510,671.25 is: 1,099,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,201.75 : 510,671.25 = 510,671.25 : x
  2. Step 2: Convert to fraction form
    237,201.75/510,671.25 = 510,671.25/x
  3. Step 3: Cross multiply
    237,201.75x = 510,671.25 × 510,671.25
  4. Step 4: Simplify right side
    237,201.75x = 260,785,125,576.56
  5. Step 5: Solve for x
    x = 260,785,125,576.56/237,201.75
  6. Step 6: Final answer
    x = 1,099,423.28

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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.