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Finding the Third Proportional to 177,456 and 275,298.75

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Solution

The third proportional to 177,456 and 275,298.75 is: 427,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,456 : 275,298.75 = 275,298.75 : x
  2. Step 2: Convert to fraction form
    177,456/275,298.75 = 275,298.75/x
  3. Step 3: Cross multiply
    177,456x = 275,298.75 × 275,298.75
  4. Step 4: Simplify right side
    177,456x = 75,789,401,751.56
  5. Step 5: Solve for x
    x = 75,789,401,751.56/177,456
  6. Step 6: Final answer
    x = 427,088.41

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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.