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Finding the Third Proportional to 84,721 and 183,389.25

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Solution

The third proportional to 84,721 and 183,389.25 is: 396,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721 : 183,389.25 = 183,389.25 : x
  2. Step 2: Convert to fraction form
    84,721/183,389.25 = 183,389.25/x
  3. Step 3: Cross multiply
    84,721x = 183,389.25 × 183,389.25
  4. Step 4: Simplify right side
    84,721x = 33,631,617,015.56
  5. Step 5: Solve for x
    x = 33,631,617,015.56/84,721
  6. Step 6: Final answer
    x = 396,969.08

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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.