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Finding the Third Proportional to 165,240 and 354,462

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Solution

The third proportional to 165,240 and 354,462 is: 760,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,240 : 354,462 = 354,462 : x
  2. Step 2: Convert to fraction form
    165,240/354,462 = 354,462/x
  3. Step 3: Cross multiply
    165,240x = 354,462 × 354,462
  4. Step 4: Simplify right side
    165,240x = 125,643,309,444
  5. Step 5: Solve for x
    x = 125,643,309,444/165,240
  6. Step 6: Final answer
    x = 760,368.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.