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Finding the Third Proportional to 84,732 and 180,732

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Solution

The third proportional to 84,732 and 180,732 is: 385,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732 : 180,732 = 180,732 : x
  2. Step 2: Convert to fraction form
    84,732/180,732 = 180,732/x
  3. Step 3: Cross multiply
    84,732x = 180,732 × 180,732
  4. Step 4: Simplify right side
    84,732x = 32,664,055,824
  5. Step 5: Solve for x
    x = 32,664,055,824/84,732
  6. Step 6: Final answer
    x = 385,498.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.