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Finding the Third Proportional to 243,185.10 and 388,491.98

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Solution

The third proportional to 243,185.10 and 388,491.98 is: 620,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,185.10 : 388,491.98 = 388,491.98 : x
  2. Step 2: Convert to fraction form
    243,185.10/388,491.98 = 388,491.98/x
  3. Step 3: Cross multiply
    243,185.10x = 388,491.98 × 388,491.98
  4. Step 4: Simplify right side
    243,185.10x = 150,926,017,370.98
  5. Step 5: Solve for x
    x = 150,926,017,370.98/243,185.10
  6. Step 6: Final answer
    x = 620,621.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.