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Finding the Third Proportional to 165,556 and 357,573

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Solution

The third proportional to 165,556 and 357,573 is: 772,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,556 : 357,573 = 357,573 : x
  2. Step 2: Convert to fraction form
    165,556/357,573 = 357,573/x
  3. Step 3: Cross multiply
    165,556x = 357,573 × 357,573
  4. Step 4: Simplify right side
    165,556x = 127,858,450,329
  5. Step 5: Solve for x
    x = 127,858,450,329/165,556
  6. Step 6: Final answer
    x = 772,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.