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Finding the Third Proportional to 233,147.25 and 289,257.75

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Solution

The third proportional to 233,147.25 and 289,257.75 is: 358,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.25 : 289,257.75 = 289,257.75 : x
  2. Step 2: Convert to fraction form
    233,147.25/289,257.75 = 289,257.75/x
  3. Step 3: Cross multiply
    233,147.25x = 289,257.75 × 289,257.75
  4. Step 4: Simplify right side
    233,147.25x = 83,670,045,935.06
  5. Step 5: Solve for x
    x = 83,670,045,935.06/233,147.25
  6. Step 6: Final answer
    x = 358,872.11

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.