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Finding the Third Proportional to 192,089 and 277,511

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Solution

The third proportional to 192,089 and 277,511 is: 400,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,089 : 277,511 = 277,511 : x
  2. Step 2: Convert to fraction form
    192,089/277,511 = 277,511/x
  3. Step 3: Cross multiply
    192,089x = 277,511 × 277,511
  4. Step 4: Simplify right side
    192,089x = 77,012,355,121
  5. Step 5: Solve for x
    x = 77,012,355,121/192,089
  6. Step 6: Final answer
    x = 400,920.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.