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Finding the Third Proportional to 165,782 and 354,832

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Solution

The third proportional to 165,782 and 354,832 is: 759,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,782 : 354,832 = 354,832 : x
  2. Step 2: Convert to fraction form
    165,782/354,832 = 354,832/x
  3. Step 3: Cross multiply
    165,782x = 354,832 × 354,832
  4. Step 4: Simplify right side
    165,782x = 125,905,748,224
  5. Step 5: Solve for x
    x = 125,905,748,224/165,782
  6. Step 6: Final answer
    x = 759,465.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.