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Finding the Third Proportional to 240,369.50 and 348,161

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Solution

The third proportional to 240,369.50 and 348,161 is: 504,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,369.50 : 348,161 = 348,161 : x
  2. Step 2: Convert to fraction form
    240,369.50/348,161 = 348,161/x
  3. Step 3: Cross multiply
    240,369.50x = 348,161 × 348,161
  4. Step 4: Simplify right side
    240,369.50x = 121,216,081,921
  5. Step 5: Solve for x
    x = 121,216,081,921/240,369.50
  6. Step 6: Final answer
    x = 504,290.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.