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Finding the Third Proportional to 233,980 and 355,893

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Solution

The third proportional to 233,980 and 355,893 is: 541,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,980 : 355,893 = 355,893 : x
  2. Step 2: Convert to fraction form
    233,980/355,893 = 355,893/x
  3. Step 3: Cross multiply
    233,980x = 355,893 × 355,893
  4. Step 4: Simplify right side
    233,980x = 126,659,827,449
  5. Step 5: Solve for x
    x = 126,659,827,449/233,980
  6. Step 6: Final answer
    x = 541,327.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.