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Finding the Third Proportional to 162,396.50 and 354,303.50

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Solution

The third proportional to 162,396.50 and 354,303.50 is: 772,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,396.50 : 354,303.50 = 354,303.50 : x
  2. Step 2: Convert to fraction form
    162,396.50/354,303.50 = 354,303.50/x
  3. Step 3: Cross multiply
    162,396.50x = 354,303.50 × 354,303.50
  4. Step 4: Simplify right side
    162,396.50x = 125,530,970,112.25
  5. Step 5: Solve for x
    x = 125,530,970,112.25/162,396.50
  6. Step 6: Final answer
    x = 772,990.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.