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Finding the Third Proportional to 84,196 and 181,512

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Solution

The third proportional to 84,196 and 181,512 is: 391,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,196 : 181,512 = 181,512 : x
  2. Step 2: Convert to fraction form
    84,196/181,512 = 181,512/x
  3. Step 3: Cross multiply
    84,196x = 181,512 × 181,512
  4. Step 4: Simplify right side
    84,196x = 32,946,606,144
  5. Step 5: Solve for x
    x = 32,946,606,144/84,196
  6. Step 6: Final answer
    x = 391,308.45

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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.