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Finding the Third Proportional to 187,961 and 405,264

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Solution

The third proportional to 187,961 and 405,264 is: 873,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,961 : 405,264 = 405,264 : x
  2. Step 2: Convert to fraction form
    187,961/405,264 = 405,264/x
  3. Step 3: Cross multiply
    187,961x = 405,264 × 405,264
  4. Step 4: Simplify right side
    187,961x = 164,238,909,696
  5. Step 5: Solve for x
    x = 164,238,909,696/187,961
  6. Step 6: Final answer
    x = 873,792.49

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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.