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Finding the Third Proportional to 161,642 and 351,768

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Solution

The third proportional to 161,642 and 351,768 is: 765,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,642 : 351,768 = 351,768 : x
  2. Step 2: Convert to fraction form
    161,642/351,768 = 351,768/x
  3. Step 3: Cross multiply
    161,642x = 351,768 × 351,768
  4. Step 4: Simplify right side
    161,642x = 123,740,725,824
  5. Step 5: Solve for x
    x = 123,740,725,824/161,642
  6. Step 6: Final answer
    x = 765,523.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.