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Finding the Third Proportional to 115,468 and 236,660

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Solution

The third proportional to 115,468 and 236,660 is: 485,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468 : 236,660 = 236,660 : x
  2. Step 2: Convert to fraction form
    115,468/236,660 = 236,660/x
  3. Step 3: Cross multiply
    115,468x = 236,660 × 236,660
  4. Step 4: Simplify right side
    115,468x = 56,007,955,600
  5. Step 5: Solve for x
    x = 56,007,955,600/115,468
  6. Step 6: Final answer
    x = 485,051.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.