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Finding the Third Proportional to 233,286.75 and 342,481.50

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Solution

The third proportional to 233,286.75 and 342,481.50 is: 502,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 342,481.50 = 342,481.50 : x
  2. Step 2: Convert to fraction form
    233,286.75/342,481.50 = 342,481.50/x
  3. Step 3: Cross multiply
    233,286.75x = 342,481.50 × 342,481.50
  4. Step 4: Simplify right side
    233,286.75x = 117,293,577,842.25
  5. Step 5: Solve for x
    x = 117,293,577,842.25/233,286.75
  6. Step 6: Final answer
    x = 502,787.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.