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Finding the Third Proportional to 183,089 and 277,215

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Solution

The third proportional to 183,089 and 277,215 is: 419,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,089 : 277,215 = 277,215 : x
  2. Step 2: Convert to fraction form
    183,089/277,215 = 277,215/x
  3. Step 3: Cross multiply
    183,089x = 277,215 × 277,215
  4. Step 4: Simplify right side
    183,089x = 76,848,156,225
  5. Step 5: Solve for x
    x = 76,848,156,225/183,089
  6. Step 6: Final answer
    x = 419,731.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.