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Finding the Third Proportional to 162,992.25 and 343,723.50

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Solution

The third proportional to 162,992.25 and 343,723.50 is: 724,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,992.25 : 343,723.50 = 343,723.50 : x
  2. Step 2: Convert to fraction form
    162,992.25/343,723.50 = 343,723.50/x
  3. Step 3: Cross multiply
    162,992.25x = 343,723.50 × 343,723.50
  4. Step 4: Simplify right side
    162,992.25x = 118,145,844,452.25
  5. Step 5: Solve for x
    x = 118,145,844,452.25/162,992.25
  6. Step 6: Final answer
    x = 724,855.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.