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Finding the Third Proportional to 169,754 and 373,405

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Solution

The third proportional to 169,754 and 373,405 is: 821,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,754 : 373,405 = 373,405 : x
  2. Step 2: Convert to fraction form
    169,754/373,405 = 373,405/x
  3. Step 3: Cross multiply
    169,754x = 373,405 × 373,405
  4. Step 4: Simplify right side
    169,754x = 139,431,294,025
  5. Step 5: Solve for x
    x = 139,431,294,025/169,754
  6. Step 6: Final answer
    x = 821,372.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.