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Finding the Third Proportional to 82,584 and 176,828

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Solution

The third proportional to 82,584 and 176,828 is: 378,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,584 : 176,828 = 176,828 : x
  2. Step 2: Convert to fraction form
    82,584/176,828 = 176,828/x
  3. Step 3: Cross multiply
    82,584x = 176,828 × 176,828
  4. Step 4: Simplify right side
    82,584x = 31,268,141,584
  5. Step 5: Solve for x
    x = 31,268,141,584/82,584
  6. Step 6: Final answer
    x = 378,622.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.