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Finding the Third Proportional to 178,158 and 261,405

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Solution

The third proportional to 178,158 and 261,405 is: 383,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,158 : 261,405 = 261,405 : x
  2. Step 2: Convert to fraction form
    178,158/261,405 = 261,405/x
  3. Step 3: Cross multiply
    178,158x = 261,405 × 261,405
  4. Step 4: Simplify right side
    178,158x = 68,332,574,025
  5. Step 5: Solve for x
    x = 68,332,574,025/178,158
  6. Step 6: Final answer
    x = 383,550.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.