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Finding the Third Proportional to 263,171 and 384,095

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Solution

The third proportional to 263,171 and 384,095 is: 560,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,171 : 384,095 = 384,095 : x
  2. Step 2: Convert to fraction form
    263,171/384,095 = 384,095/x
  3. Step 3: Cross multiply
    263,171x = 384,095 × 384,095
  4. Step 4: Simplify right side
    263,171x = 147,528,969,025
  5. Step 5: Solve for x
    x = 147,528,969,025/263,171
  6. Step 6: Final answer
    x = 560,582.17

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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.