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Finding the Third Proportional to 188,849 and 407,859

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Solution

The third proportional to 188,849 and 407,859 is: 880,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,849 : 407,859 = 407,859 : x
  2. Step 2: Convert to fraction form
    188,849/407,859 = 407,859/x
  3. Step 3: Cross multiply
    188,849x = 407,859 × 407,859
  4. Step 4: Simplify right side
    188,849x = 166,348,963,881
  5. Step 5: Solve for x
    x = 166,348,963,881/188,849
  6. Step 6: Final answer
    x = 880,857.00

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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.