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Finding the Third Proportional to 84,008 and 181,808

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Solution

The third proportional to 84,008 and 181,808 is: 393,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008 : 181,808 = 181,808 : x
  2. Step 2: Convert to fraction form
    84,008/181,808 = 181,808/x
  3. Step 3: Cross multiply
    84,008x = 181,808 × 181,808
  4. Step 4: Simplify right side
    84,008x = 33,054,148,864
  5. Step 5: Solve for x
    x = 33,054,148,864/84,008
  6. Step 6: Final answer
    x = 393,464.30

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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.