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Finding the Third Proportional to 165,011 and 257,372

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Solution

The third proportional to 165,011 and 257,372 is: 401,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,011 : 257,372 = 257,372 : x
  2. Step 2: Convert to fraction form
    165,011/257,372 = 257,372/x
  3. Step 3: Cross multiply
    165,011x = 257,372 × 257,372
  4. Step 4: Simplify right side
    165,011x = 66,240,346,384
  5. Step 5: Solve for x
    x = 66,240,346,384/165,011
  6. Step 6: Final answer
    x = 401,429.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.