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Finding the Third Proportional to 200,966.50 and 311,037

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Solution

The third proportional to 200,966.50 and 311,037 is: 481,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,966.50 : 311,037 = 311,037 : x
  2. Step 2: Convert to fraction form
    200,966.50/311,037 = 311,037/x
  3. Step 3: Cross multiply
    200,966.50x = 311,037 × 311,037
  4. Step 4: Simplify right side
    200,966.50x = 96,744,015,369
  5. Step 5: Solve for x
    x = 96,744,015,369/200,966.50
  6. Step 6: Final answer
    x = 481,393.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.