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Finding the Third Proportional to 221,679.50 and 343,955

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Solution

The third proportional to 221,679.50 and 343,955 is: 533,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,679.50 : 343,955 = 343,955 : x
  2. Step 2: Convert to fraction form
    221,679.50/343,955 = 343,955/x
  3. Step 3: Cross multiply
    221,679.50x = 343,955 × 343,955
  4. Step 4: Simplify right side
    221,679.50x = 118,305,042,025
  5. Step 5: Solve for x
    x = 118,305,042,025/221,679.50
  6. Step 6: Final answer
    x = 533,676.06

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Why These Related Problems?

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