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Finding the Third Proportional to 84,890 and 186,556

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Solution

The third proportional to 84,890 and 186,556 is: 409,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,890 : 186,556 = 186,556 : x
  2. Step 2: Convert to fraction form
    84,890/186,556 = 186,556/x
  3. Step 3: Cross multiply
    84,890x = 186,556 × 186,556
  4. Step 4: Simplify right side
    84,890x = 34,803,141,136
  5. Step 5: Solve for x
    x = 34,803,141,136/84,890
  6. Step 6: Final answer
    x = 409,979.28

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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.