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Finding the Third Proportional to 233,142.75 and 275,721.75

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Solution

The third proportional to 233,142.75 and 275,721.75 is: 326,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,142.75 : 275,721.75 = 275,721.75 : x
  2. Step 2: Convert to fraction form
    233,142.75/275,721.75 = 275,721.75/x
  3. Step 3: Cross multiply
    233,142.75x = 275,721.75 × 275,721.75
  4. Step 4: Simplify right side
    233,142.75x = 76,022,483,423.06
  5. Step 5: Solve for x
    x = 76,022,483,423.06/233,142.75
  6. Step 6: Final answer
    x = 326,076.98

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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.