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Finding the Third Proportional to 165,264 and 361,332

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Solution

The third proportional to 165,264 and 361,332 is: 790,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264 : 361,332 = 361,332 : x
  2. Step 2: Convert to fraction form
    165,264/361,332 = 361,332/x
  3. Step 3: Cross multiply
    165,264x = 361,332 × 361,332
  4. Step 4: Simplify right side
    165,264x = 130,560,814,224
  5. Step 5: Solve for x
    x = 130,560,814,224/165,264
  6. Step 6: Final answer
    x = 790,013.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.