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Finding the Third Proportional to 84,582 and 185,907

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Solution

The third proportional to 84,582 and 185,907 is: 408,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,582 : 185,907 = 185,907 : x
  2. Step 2: Convert to fraction form
    84,582/185,907 = 185,907/x
  3. Step 3: Cross multiply
    84,582x = 185,907 × 185,907
  4. Step 4: Simplify right side
    84,582x = 34,561,412,649
  5. Step 5: Solve for x
    x = 34,561,412,649/84,582
  6. Step 6: Final answer
    x = 408,614.28

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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.