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Finding the Third Proportional to 177,453 and 271,495

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Solution

The third proportional to 177,453 and 271,495 is: 415,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 271,495 = 271,495 : x
  2. Step 2: Convert to fraction form
    177,453/271,495 = 271,495/x
  3. Step 3: Cross multiply
    177,453x = 271,495 × 271,495
  4. Step 4: Simplify right side
    177,453x = 73,709,535,025
  5. Step 5: Solve for x
    x = 73,709,535,025/177,453
  6. Step 6: Final answer
    x = 415,374.97

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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.