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Finding the Third Proportional to 200,673 and 311,056.50

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Solution

The third proportional to 200,673 and 311,056.50 is: 482,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,673 : 311,056.50 = 311,056.50 : x
  2. Step 2: Convert to fraction form
    200,673/311,056.50 = 311,056.50/x
  3. Step 3: Cross multiply
    200,673x = 311,056.50 × 311,056.50
  4. Step 4: Simplify right side
    200,673x = 96,756,146,192.25
  5. Step 5: Solve for x
    x = 96,756,146,192.25/200,673
  6. Step 6: Final answer
    x = 482,158.27

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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.