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Finding the Third Proportional to 106,446 and 177,402

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Solution

The third proportional to 106,446 and 177,402 is: 295,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,446 : 177,402 = 177,402 : x
  2. Step 2: Convert to fraction form
    106,446/177,402 = 177,402/x
  3. Step 3: Cross multiply
    106,446x = 177,402 × 177,402
  4. Step 4: Simplify right side
    106,446x = 31,471,469,604
  5. Step 5: Solve for x
    x = 31,471,469,604/106,446
  6. Step 6: Final answer
    x = 295,656.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.