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Finding the Third Proportional to 193,914 and 284,487

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Solution

The third proportional to 193,914 and 284,487 is: 417,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,914 : 284,487 = 284,487 : x
  2. Step 2: Convert to fraction form
    193,914/284,487 = 284,487/x
  3. Step 3: Cross multiply
    193,914x = 284,487 × 284,487
  4. Step 4: Simplify right side
    193,914x = 80,932,853,169
  5. Step 5: Solve for x
    x = 80,932,853,169/193,914
  6. Step 6: Final answer
    x = 417,364.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.