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Finding the Third Proportional to 221,419.50 and 343,794

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Solution

The third proportional to 221,419.50 and 343,794 is: 533,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419.50 : 343,794 = 343,794 : x
  2. Step 2: Convert to fraction form
    221,419.50/343,794 = 343,794/x
  3. Step 3: Cross multiply
    221,419.50x = 343,794 × 343,794
  4. Step 4: Simplify right side
    221,419.50x = 118,194,314,436
  5. Step 5: Solve for x
    x = 118,194,314,436/221,419.50
  6. Step 6: Final answer
    x = 533,802.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.