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Finding the Third Proportional to 233,898.75 and 305,868.38

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Solution

The third proportional to 233,898.75 and 305,868.38 is: 399,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,898.75 : 305,868.38 = 305,868.38 : x
  2. Step 2: Convert to fraction form
    233,898.75/305,868.38 = 305,868.38/x
  3. Step 3: Cross multiply
    233,898.75x = 305,868.38 × 305,868.38
  4. Step 4: Simplify right side
    233,898.75x = 93,555,462,825.14
  5. Step 5: Solve for x
    x = 93,555,462,825.14/233,898.75
  6. Step 6: Final answer
    x = 399,982.74

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.