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Finding the Third Proportional to 263,191.78 and 384,946.17

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Solution

The third proportional to 263,191.78 and 384,946.17 is: 563,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,191.78 : 384,946.17 = 384,946.17 : x
  2. Step 2: Convert to fraction form
    263,191.78/384,946.17 = 384,946.17/x
  3. Step 3: Cross multiply
    263,191.78x = 384,946.17 × 384,946.17
  4. Step 4: Simplify right side
    263,191.78x = 148,183,555,241.22
  5. Step 5: Solve for x
    x = 148,183,555,241.22/263,191.78
  6. Step 6: Final answer
    x = 563,025.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.