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Finding the Third Proportional to 194,130 and 424,183.50

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Solution

The third proportional to 194,130 and 424,183.50 is: 926,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,130 : 424,183.50 = 424,183.50 : x
  2. Step 2: Convert to fraction form
    194,130/424,183.50 = 424,183.50/x
  3. Step 3: Cross multiply
    194,130x = 424,183.50 × 424,183.50
  4. Step 4: Simplify right side
    194,130x = 179,931,641,672.25
  5. Step 5: Solve for x
    x = 179,931,641,672.25/194,130
  6. Step 6: Final answer
    x = 926,861.60

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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.