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Finding the Third Proportional to 203,144.25 and 437,506.50

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Solution

The third proportional to 203,144.25 and 437,506.50 is: 942,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,144.25 : 437,506.50 = 437,506.50 : x
  2. Step 2: Convert to fraction form
    203,144.25/437,506.50 = 437,506.50/x
  3. Step 3: Cross multiply
    203,144.25x = 437,506.50 × 437,506.50
  4. Step 4: Simplify right side
    203,144.25x = 191,411,937,542.25
  5. Step 5: Solve for x
    x = 191,411,937,542.25/203,144.25
  6. Step 6: Final answer
    x = 942,246.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.