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Finding the Third Proportional to 187,056 and 405,824

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Solution

The third proportional to 187,056 and 405,824 is: 880,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,056 : 405,824 = 405,824 : x
  2. Step 2: Convert to fraction form
    187,056/405,824 = 405,824/x
  3. Step 3: Cross multiply
    187,056x = 405,824 × 405,824
  4. Step 4: Simplify right side
    187,056x = 164,693,118,976
  5. Step 5: Solve for x
    x = 164,693,118,976/187,056
  6. Step 6: Final answer
    x = 880,448.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.