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Finding the Third Proportional to 186,524 and 295,802

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Solution

The third proportional to 186,524 and 295,802 is: 469,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,524 : 295,802 = 295,802 : x
  2. Step 2: Convert to fraction form
    186,524/295,802 = 295,802/x
  3. Step 3: Cross multiply
    186,524x = 295,802 × 295,802
  4. Step 4: Simplify right side
    186,524x = 87,498,823,204
  5. Step 5: Solve for x
    x = 87,498,823,204/186,524
  6. Step 6: Final answer
    x = 469,102.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.