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Finding the Third Proportional to 84,326 and 178,062

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Solution

The third proportional to 84,326 and 178,062 is: 375,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,326 : 178,062 = 178,062 : x
  2. Step 2: Convert to fraction form
    84,326/178,062 = 178,062/x
  3. Step 3: Cross multiply
    84,326x = 178,062 × 178,062
  4. Step 4: Simplify right side
    84,326x = 31,706,075,844
  5. Step 5: Solve for x
    x = 31,706,075,844/84,326
  6. Step 6: Final answer
    x = 375,994.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.