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Finding the Third Proportional to 177,454 and 271,497

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Solution

The third proportional to 177,454 and 271,497 is: 415,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,454 : 271,497 = 271,497 : x
  2. Step 2: Convert to fraction form
    177,454/271,497 = 271,497/x
  3. Step 3: Cross multiply
    177,454x = 271,497 × 271,497
  4. Step 4: Simplify right side
    177,454x = 73,710,621,009
  5. Step 5: Solve for x
    x = 73,710,621,009/177,454
  6. Step 6: Final answer
    x = 415,378.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.