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Finding the Third Proportional to 84,178 and 185,852

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Solution

The third proportional to 84,178 and 185,852 is: 410,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,178 : 185,852 = 185,852 : x
  2. Step 2: Convert to fraction form
    84,178/185,852 = 185,852/x
  3. Step 3: Cross multiply
    84,178x = 185,852 × 185,852
  4. Step 4: Simplify right side
    84,178x = 34,540,965,904
  5. Step 5: Solve for x
    x = 34,540,965,904/84,178
  6. Step 6: Final answer
    x = 410,332.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.