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Finding the Third Proportional to 177,453 and 282,187

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Solution

The third proportional to 177,453 and 282,187 is: 448,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 282,187 = 282,187 : x
  2. Step 2: Convert to fraction form
    177,453/282,187 = 282,187/x
  3. Step 3: Cross multiply
    177,453x = 282,187 × 282,187
  4. Step 4: Simplify right side
    177,453x = 79,629,502,969
  5. Step 5: Solve for x
    x = 79,629,502,969/177,453
  6. Step 6: Final answer
    x = 448,735.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.