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Finding the Third Proportional to 84,538 and 178,506

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Solution

The third proportional to 84,538 and 178,506 is: 376,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,538 : 178,506 = 178,506 : x
  2. Step 2: Convert to fraction form
    84,538/178,506 = 178,506/x
  3. Step 3: Cross multiply
    84,538x = 178,506 × 178,506
  4. Step 4: Simplify right side
    84,538x = 31,864,392,036
  5. Step 5: Solve for x
    x = 31,864,392,036/84,538
  6. Step 6: Final answer
    x = 376,923.89

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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.