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Finding the Third Proportional to 200,794.50 and 418,236

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Solution

The third proportional to 200,794.50 and 418,236 is: 871,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794.50 : 418,236 = 418,236 : x
  2. Step 2: Convert to fraction form
    200,794.50/418,236 = 418,236/x
  3. Step 3: Cross multiply
    200,794.50x = 418,236 × 418,236
  4. Step 4: Simplify right side
    200,794.50x = 174,921,351,696
  5. Step 5: Solve for x
    x = 174,921,351,696/200,794.50
  6. Step 6: Final answer
    x = 871,146.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.