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Finding the Third Proportional to 237,201.75 and 371,355.75

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Solution

The third proportional to 237,201.75 and 371,355.75 is: 581,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,201.75 : 371,355.75 = 371,355.75 : x
  2. Step 2: Convert to fraction form
    237,201.75/371,355.75 = 371,355.75/x
  3. Step 3: Cross multiply
    237,201.75x = 371,355.75 × 371,355.75
  4. Step 4: Simplify right side
    237,201.75x = 137,905,093,058.06
  5. Step 5: Solve for x
    x = 137,905,093,058.06/237,201.75
  6. Step 6: Final answer
    x = 581,383.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.