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Finding the Third Proportional to 187,834 and 405,261

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Solution

The third proportional to 187,834 and 405,261 is: 874,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,834 : 405,261 = 405,261 : x
  2. Step 2: Convert to fraction form
    187,834/405,261 = 405,261/x
  3. Step 3: Cross multiply
    187,834x = 405,261 × 405,261
  4. Step 4: Simplify right side
    187,834x = 164,236,478,121
  5. Step 5: Solve for x
    x = 164,236,478,121/187,834
  6. Step 6: Final answer
    x = 874,370.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.