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Finding the Third Proportional to 165,768 and 354,802

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Solution

The third proportional to 165,768 and 354,802 is: 759,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,768 : 354,802 = 354,802 : x
  2. Step 2: Convert to fraction form
    165,768/354,802 = 354,802/x
  3. Step 3: Cross multiply
    165,768x = 354,802 × 354,802
  4. Step 4: Simplify right side
    165,768x = 125,884,459,204
  5. Step 5: Solve for x
    x = 125,884,459,204/165,768
  6. Step 6: Final answer
    x = 759,401.45

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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.