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Finding the Third Proportional to 191,723 and 403,271

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Solution

The third proportional to 191,723 and 403,271 is: 848,241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,723 : 403,271 = 403,271 : x
  2. Step 2: Convert to fraction form
    191,723/403,271 = 403,271/x
  3. Step 3: Cross multiply
    191,723x = 403,271 × 403,271
  4. Step 4: Simplify right side
    191,723x = 162,627,499,441
  5. Step 5: Solve for x
    x = 162,627,499,441/191,723
  6. Step 6: Final answer
    x = 848,241.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.