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Finding the Third Proportional to 79,628 and 174,023

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Solution

The third proportional to 79,628 and 174,023 is: 380,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,628 : 174,023 = 174,023 : x
  2. Step 2: Convert to fraction form
    79,628/174,023 = 174,023/x
  3. Step 3: Cross multiply
    79,628x = 174,023 × 174,023
  4. Step 4: Simplify right side
    79,628x = 30,284,004,529
  5. Step 5: Solve for x
    x = 30,284,004,529/79,628
  6. Step 6: Final answer
    x = 380,318.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.