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Finding the Third Proportional to 200,043.50 and 309,542.25

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Solution

The third proportional to 200,043.50 and 309,542.25 is: 478,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043.50 : 309,542.25 = 309,542.25 : x
  2. Step 2: Convert to fraction form
    200,043.50/309,542.25 = 309,542.25/x
  3. Step 3: Cross multiply
    200,043.50x = 309,542.25 × 309,542.25
  4. Step 4: Simplify right side
    200,043.50x = 95,816,404,535.06
  5. Step 5: Solve for x
    x = 95,816,404,535.06/200,043.50
  6. Step 6: Final answer
    x = 478,977.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.