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Finding the Third Proportional to 233,286.75 and 341,182.13

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Solution

The third proportional to 233,286.75 and 341,182.13 is: 498,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 341,182.13 = 341,182.13 : x
  2. Step 2: Convert to fraction form
    233,286.75/341,182.13 = 341,182.13/x
  3. Step 3: Cross multiply
    233,286.75x = 341,182.13 × 341,182.13
  4. Step 4: Simplify right side
    233,286.75x = 116,405,242,419.52
  5. Step 5: Solve for x
    x = 116,405,242,419.52/233,286.75
  6. Step 6: Final answer
    x = 498,979.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.