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Finding the Third Proportional to 177,201 and 282,096

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Solution

The third proportional to 177,201 and 282,096 is: 449,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,201 : 282,096 = 282,096 : x
  2. Step 2: Convert to fraction form
    177,201/282,096 = 282,096/x
  3. Step 3: Cross multiply
    177,201x = 282,096 × 282,096
  4. Step 4: Simplify right side
    177,201x = 79,578,153,216
  5. Step 5: Solve for x
    x = 79,578,153,216/177,201
  6. Step 6: Final answer
    x = 449,084.11

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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.