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Finding the Third Proportional to 84,624 and 181,232

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Solution

The third proportional to 84,624 and 181,232 is: 388,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624 : 181,232 = 181,232 : x
  2. Step 2: Convert to fraction form
    84,624/181,232 = 181,232/x
  3. Step 3: Cross multiply
    84,624x = 181,232 × 181,232
  4. Step 4: Simplify right side
    84,624x = 32,845,037,824
  5. Step 5: Solve for x
    x = 32,845,037,824/84,624
  6. Step 6: Final answer
    x = 388,129.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.