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Finding the Third Proportional to 199,834 and 301,071

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Solution

The third proportional to 199,834 and 301,071 is: 453,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,834 : 301,071 = 301,071 : x
  2. Step 2: Convert to fraction form
    199,834/301,071 = 301,071/x
  3. Step 3: Cross multiply
    199,834x = 301,071 × 301,071
  4. Step 4: Simplify right side
    199,834x = 90,643,747,041
  5. Step 5: Solve for x
    x = 90,643,747,041/199,834
  6. Step 6: Final answer
    x = 453,595.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.