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Finding the Third Proportional to 165,392 and 255,628

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Solution

The third proportional to 165,392 and 255,628 is: 395,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,392 : 255,628 = 255,628 : x
  2. Step 2: Convert to fraction form
    165,392/255,628 = 255,628/x
  3. Step 3: Cross multiply
    165,392x = 255,628 × 255,628
  4. Step 4: Simplify right side
    165,392x = 65,345,674,384
  5. Step 5: Solve for x
    x = 65,345,674,384/165,392
  6. Step 6: Final answer
    x = 395,095.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.