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Finding the Third Proportional to 84,680 and 181,024

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Solution

The third proportional to 84,680 and 181,024 is: 386,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,680 : 181,024 = 181,024 : x
  2. Step 2: Convert to fraction form
    84,680/181,024 = 181,024/x
  3. Step 3: Cross multiply
    84,680x = 181,024 × 181,024
  4. Step 4: Simplify right side
    84,680x = 32,769,688,576
  5. Step 5: Solve for x
    x = 32,769,688,576/84,680
  6. Step 6: Final answer
    x = 386,982.62

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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.