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Finding the Third Proportional to 84,546 and 178,522

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Solution

The third proportional to 84,546 and 178,522 is: 376,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,546 : 178,522 = 178,522 : x
  2. Step 2: Convert to fraction form
    84,546/178,522 = 178,522/x
  3. Step 3: Cross multiply
    84,546x = 178,522 × 178,522
  4. Step 4: Simplify right side
    84,546x = 31,870,104,484
  5. Step 5: Solve for x
    x = 31,870,104,484/84,546
  6. Step 6: Final answer
    x = 376,955.79

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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.