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Finding the Third Proportional to 84,788 and 186,220

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Solution

The third proportional to 84,788 and 186,220 is: 408,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,788 : 186,220 = 186,220 : x
  2. Step 2: Convert to fraction form
    84,788/186,220 = 186,220/x
  3. Step 3: Cross multiply
    84,788x = 186,220 × 186,220
  4. Step 4: Simplify right side
    84,788x = 34,677,888,400
  5. Step 5: Solve for x
    x = 34,677,888,400/84,788
  6. Step 6: Final answer
    x = 408,995.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.