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Finding the Third Proportional to 165,824 and 389,808

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Solution

The third proportional to 165,824 and 389,808 is: 916,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,824 : 389,808 = 389,808 : x
  2. Step 2: Convert to fraction form
    165,824/389,808 = 389,808/x
  3. Step 3: Cross multiply
    165,824x = 389,808 × 389,808
  4. Step 4: Simplify right side
    165,824x = 151,950,276,864
  5. Step 5: Solve for x
    x = 151,950,276,864/165,824
  6. Step 6: Final answer
    x = 916,334.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.