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Finding the Third Proportional to 176,955 and 281,462

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Solution

The third proportional to 176,955 and 281,462 is: 447,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,955 : 281,462 = 281,462 : x
  2. Step 2: Convert to fraction form
    176,955/281,462 = 281,462/x
  3. Step 3: Cross multiply
    176,955x = 281,462 × 281,462
  4. Step 4: Simplify right side
    176,955x = 79,220,857,444
  5. Step 5: Solve for x
    x = 79,220,857,444/176,955
  6. Step 6: Final answer
    x = 447,689.29

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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.