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Finding the Third Proportional to 233,133.75 and 275,712.75

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Solution

The third proportional to 233,133.75 and 275,712.75 is: 326,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.75 : 275,712.75 = 275,712.75 : x
  2. Step 2: Convert to fraction form
    233,133.75/275,712.75 = 275,712.75/x
  3. Step 3: Cross multiply
    233,133.75x = 275,712.75 × 275,712.75
  4. Step 4: Simplify right side
    233,133.75x = 76,017,520,512.56
  5. Step 5: Solve for x
    x = 76,017,520,512.56/233,133.75
  6. Step 6: Final answer
    x = 326,068.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.