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Finding the Third Proportional to 233,268.75 and 431,496

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Solution

The third proportional to 233,268.75 and 431,496 is: 798,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,268.75 : 431,496 = 431,496 : x
  2. Step 2: Convert to fraction form
    233,268.75/431,496 = 431,496/x
  3. Step 3: Cross multiply
    233,268.75x = 431,496 × 431,496
  4. Step 4: Simplify right side
    233,268.75x = 186,188,798,016
  5. Step 5: Solve for x
    x = 186,188,798,016/233,268.75
  6. Step 6: Final answer
    x = 798,172.91

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.