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Finding the Third Proportional to 233,867 and 505,156.50

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Solution

The third proportional to 233,867 and 505,156.50 is: 1,091,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,867 : 505,156.50 = 505,156.50 : x
  2. Step 2: Convert to fraction form
    233,867/505,156.50 = 505,156.50/x
  3. Step 3: Cross multiply
    233,867x = 505,156.50 × 505,156.50
  4. Step 4: Simplify right side
    233,867x = 255,183,089,492.25
  5. Step 5: Solve for x
    x = 255,183,089,492.25/233,867
  6. Step 6: Final answer
    x = 1,091,146.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.