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Finding the Third Proportional to 84,576 and 180,813

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Solution

The third proportional to 84,576 and 180,813 is: 386,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,576 : 180,813 = 180,813 : x
  2. Step 2: Convert to fraction form
    84,576/180,813 = 180,813/x
  3. Step 3: Cross multiply
    84,576x = 180,813 × 180,813
  4. Step 4: Simplify right side
    84,576x = 32,693,340,969
  5. Step 5: Solve for x
    x = 32,693,340,969/84,576
  6. Step 6: Final answer
    x = 386,555.77

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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.