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Finding the Third Proportional to 177,402 and 275,446

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Solution

The third proportional to 177,402 and 275,446 is: 427,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,402 : 275,446 = 275,446 : x
  2. Step 2: Convert to fraction form
    177,402/275,446 = 275,446/x
  3. Step 3: Cross multiply
    177,402x = 275,446 × 275,446
  4. Step 4: Simplify right side
    177,402x = 75,870,498,916
  5. Step 5: Solve for x
    x = 75,870,498,916/177,402
  6. Step 6: Final answer
    x = 427,675.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.