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Finding the Third Proportional to 107,660 and 233,980

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Solution

The third proportional to 107,660 and 233,980 is: 508,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,660 : 233,980 = 233,980 : x
  2. Step 2: Convert to fraction form
    107,660/233,980 = 233,980/x
  3. Step 3: Cross multiply
    107,660x = 233,980 × 233,980
  4. Step 4: Simplify right side
    107,660x = 54,746,640,400
  5. Step 5: Solve for x
    x = 54,746,640,400/107,660
  6. Step 6: Final answer
    x = 508,514.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.