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Finding the Third Proportional to 199,567.50 and 437,941.50

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Solution

The third proportional to 199,567.50 and 437,941.50 is: 961,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,567.50 : 437,941.50 = 437,941.50 : x
  2. Step 2: Convert to fraction form
    199,567.50/437,941.50 = 437,941.50/x
  3. Step 3: Cross multiply
    199,567.50x = 437,941.50 × 437,941.50
  4. Step 4: Simplify right side
    199,567.50x = 191,792,757,422.25
  5. Step 5: Solve for x
    x = 191,792,757,422.25/199,567.50
  6. Step 6: Final answer
    x = 961,042.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.