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Finding the Third Proportional to 174,982 and 277,833

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Solution

The third proportional to 174,982 and 277,833 is: 441,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,982 : 277,833 = 277,833 : x
  2. Step 2: Convert to fraction form
    174,982/277,833 = 277,833/x
  3. Step 3: Cross multiply
    174,982x = 277,833 × 277,833
  4. Step 4: Simplify right side
    174,982x = 77,191,175,889
  5. Step 5: Solve for x
    x = 77,191,175,889/174,982
  6. Step 6: Final answer
    x = 441,137.81

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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.