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Finding the Third Proportional to 259,422.75 and 331,482.38

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Solution

The third proportional to 259,422.75 and 331,482.38 is: 423,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,422.75 : 331,482.38 = 331,482.38 : x
  2. Step 2: Convert to fraction form
    259,422.75/331,482.38 = 331,482.38/x
  3. Step 3: Cross multiply
    259,422.75x = 331,482.38 × 331,482.38
  4. Step 4: Simplify right side
    259,422.75x = 109,880,564,935.64
  5. Step 5: Solve for x
    x = 109,880,564,935.64/259,422.75
  6. Step 6: Final answer
    x = 423,557.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.