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Finding the Third Proportional to 115,851 and 270,663

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Solution

The third proportional to 115,851 and 270,663 is: 632,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,851 : 270,663 = 270,663 : x
  2. Step 2: Convert to fraction form
    115,851/270,663 = 270,663/x
  3. Step 3: Cross multiply
    115,851x = 270,663 × 270,663
  4. Step 4: Simplify right side
    115,851x = 73,258,459,569
  5. Step 5: Solve for x
    x = 73,258,459,569/115,851
  6. Step 6: Final answer
    x = 632,350.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.