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Finding the Third Proportional to 233,241.75 and 329,973.75

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Solution

The third proportional to 233,241.75 and 329,973.75 is: 466,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,241.75 : 329,973.75 = 329,973.75 : x
  2. Step 2: Convert to fraction form
    233,241.75/329,973.75 = 329,973.75/x
  3. Step 3: Cross multiply
    233,241.75x = 329,973.75 × 329,973.75
  4. Step 4: Simplify right side
    233,241.75x = 108,882,675,689.06
  5. Step 5: Solve for x
    x = 108,882,675,689.06/233,241.75
  6. Step 6: Final answer
    x = 466,823.27

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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.