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Finding the Third Proportional to 233,268.75 and 328,716

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Solution

The third proportional to 233,268.75 and 328,716 is: 463,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,268.75 : 328,716 = 328,716 : x
  2. Step 2: Convert to fraction form
    233,268.75/328,716 = 328,716/x
  3. Step 3: Cross multiply
    233,268.75x = 328,716 × 328,716
  4. Step 4: Simplify right side
    233,268.75x = 108,054,208,656
  5. Step 5: Solve for x
    x = 108,054,208,656/233,268.75
  6. Step 6: Final answer
    x = 463,217.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.