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Finding the Third Proportional to 183,252 and 277,430

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Solution

The third proportional to 183,252 and 277,430 is: 420,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,252 : 277,430 = 277,430 : x
  2. Step 2: Convert to fraction form
    183,252/277,430 = 277,430/x
  3. Step 3: Cross multiply
    183,252x = 277,430 × 277,430
  4. Step 4: Simplify right side
    183,252x = 76,967,404,900
  5. Step 5: Solve for x
    x = 76,967,404,900/183,252
  6. Step 6: Final answer
    x = 420,008.54

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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.