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Finding the Third Proportional to 84,664 and 180,984

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Solution

The third proportional to 84,664 and 180,984 is: 386,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,664 : 180,984 = 180,984 : x
  2. Step 2: Convert to fraction form
    84,664/180,984 = 180,984/x
  3. Step 3: Cross multiply
    84,664x = 180,984 × 180,984
  4. Step 4: Simplify right side
    84,664x = 32,755,208,256
  5. Step 5: Solve for x
    x = 32,755,208,256/84,664
  6. Step 6: Final answer
    x = 386,884.72

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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.