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Finding the Third Proportional to 178,769 and 284,556

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Solution

The third proportional to 178,769 and 284,556 is: 452,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,769 : 284,556 = 284,556 : x
  2. Step 2: Convert to fraction form
    178,769/284,556 = 284,556/x
  3. Step 3: Cross multiply
    178,769x = 284,556 × 284,556
  4. Step 4: Simplify right side
    178,769x = 80,972,117,136
  5. Step 5: Solve for x
    x = 80,972,117,136/178,769
  6. Step 6: Final answer
    x = 452,942.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.