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Finding the Third Proportional to 177,442 and 282,191

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Solution

The third proportional to 177,442 and 282,191 is: 448,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,442 : 282,191 = 282,191 : x
  2. Step 2: Convert to fraction form
    177,442/282,191 = 282,191/x
  3. Step 3: Cross multiply
    177,442x = 282,191 × 282,191
  4. Step 4: Simplify right side
    177,442x = 79,631,760,481
  5. Step 5: Solve for x
    x = 79,631,760,481/177,442
  6. Step 6: Final answer
    x = 448,776.28

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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.