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Finding the Third Proportional to 165,904 and 360,468

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Solution

The third proportional to 165,904 and 360,468 is: 783,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,904 : 360,468 = 360,468 : x
  2. Step 2: Convert to fraction form
    165,904/360,468 = 360,468/x
  3. Step 3: Cross multiply
    165,904x = 360,468 × 360,468
  4. Step 4: Simplify right side
    165,904x = 129,937,179,024
  5. Step 5: Solve for x
    x = 129,937,179,024/165,904
  6. Step 6: Final answer
    x = 783,207.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.