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Finding the Third Proportional to 114,221 and 177,834

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Solution

The third proportional to 114,221 and 177,834 is: 276,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,221 : 177,834 = 177,834 : x
  2. Step 2: Convert to fraction form
    114,221/177,834 = 177,834/x
  3. Step 3: Cross multiply
    114,221x = 177,834 × 177,834
  4. Step 4: Simplify right side
    114,221x = 31,624,931,556
  5. Step 5: Solve for x
    x = 31,624,931,556/114,221
  6. Step 6: Final answer
    x = 276,874.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.