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Finding the Third Proportional to 177,446 and 282,197

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Solution

The third proportional to 177,446 and 282,197 is: 448,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,446 : 282,197 = 282,197 : x
  2. Step 2: Convert to fraction form
    177,446/282,197 = 282,197/x
  3. Step 3: Cross multiply
    177,446x = 282,197 × 282,197
  4. Step 4: Simplify right side
    177,446x = 79,635,146,809
  5. Step 5: Solve for x
    x = 79,635,146,809/177,446
  6. Step 6: Final answer
    x = 448,785.25

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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.