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Finding the Third Proportional to 175,905 and 386,802

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Solution

The third proportional to 175,905 and 386,802 is: 850,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,905 : 386,802 = 386,802 : x
  2. Step 2: Convert to fraction form
    175,905/386,802 = 386,802/x
  3. Step 3: Cross multiply
    175,905x = 386,802 × 386,802
  4. Step 4: Simplify right side
    175,905x = 149,615,787,204
  5. Step 5: Solve for x
    x = 149,615,787,204/175,905
  6. Step 6: Final answer
    x = 850,548.80

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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.