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Finding the Third Proportional to 192,071 and 280,724

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Solution

The third proportional to 192,071 and 280,724 is: 410,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,071 : 280,724 = 280,724 : x
  2. Step 2: Convert to fraction form
    192,071/280,724 = 280,724/x
  3. Step 3: Cross multiply
    192,071x = 280,724 × 280,724
  4. Step 4: Simplify right side
    192,071x = 78,805,964,176
  5. Step 5: Solve for x
    x = 78,805,964,176/192,071
  6. Step 6: Final answer
    x = 410,296.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.