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Finding the Third Proportional to 200,851.50 and 275,410.50

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Solution

The third proportional to 200,851.50 and 275,410.50 is: 377,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,851.50 : 275,410.50 = 275,410.50 : x
  2. Step 2: Convert to fraction form
    200,851.50/275,410.50 = 275,410.50/x
  3. Step 3: Cross multiply
    200,851.50x = 275,410.50 × 275,410.50
  4. Step 4: Simplify right side
    200,851.50x = 75,850,943,510.25
  5. Step 5: Solve for x
    x = 75,850,943,510.25/200,851.50
  6. Step 6: Final answer
    x = 377,646.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.