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Finding the Third Proportional to 119,976 and 277,752

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Solution

The third proportional to 119,976 and 277,752 is: 643,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,976 : 277,752 = 277,752 : x
  2. Step 2: Convert to fraction form
    119,976/277,752 = 277,752/x
  3. Step 3: Cross multiply
    119,976x = 277,752 × 277,752
  4. Step 4: Simplify right side
    119,976x = 77,146,173,504
  5. Step 5: Solve for x
    x = 77,146,173,504/119,976
  6. Step 6: Final answer
    x = 643,013.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.