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Finding the Third Proportional to 233,151.75 and 275,730.75

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Solution

The third proportional to 233,151.75 and 275,730.75 is: 326,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151.75 : 275,730.75 = 275,730.75 : x
  2. Step 2: Convert to fraction form
    233,151.75/275,730.75 = 275,730.75/x
  3. Step 3: Cross multiply
    233,151.75x = 275,730.75 × 275,730.75
  4. Step 4: Simplify right side
    233,151.75x = 76,027,446,495.56
  5. Step 5: Solve for x
    x = 76,027,446,495.56/233,151.75
  6. Step 6: Final answer
    x = 326,085.68

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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.