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Finding the Third Proportional to 107,504 and 233,412

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Solution

The third proportional to 107,504 and 233,412 is: 506,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,504 : 233,412 = 233,412 : x
  2. Step 2: Convert to fraction form
    107,504/233,412 = 233,412/x
  3. Step 3: Cross multiply
    107,504x = 233,412 × 233,412
  4. Step 4: Simplify right side
    107,504x = 54,481,161,744
  5. Step 5: Solve for x
    x = 54,481,161,744/107,504
  6. Step 6: Final answer
    x = 506,782.65

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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.