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Finding the Third Proportional to 176,682 and 281,413

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Solution

The third proportional to 176,682 and 281,413 is: 448,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,682 : 281,413 = 281,413 : x
  2. Step 2: Convert to fraction form
    176,682/281,413 = 281,413/x
  3. Step 3: Cross multiply
    176,682x = 281,413 × 281,413
  4. Step 4: Simplify right side
    176,682x = 79,193,276,569
  5. Step 5: Solve for x
    x = 79,193,276,569/176,682
  6. Step 6: Final answer
    x = 448,224.93

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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.