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Finding the Third Proportional to 233,832 and 342,000

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Solution

The third proportional to 233,832 and 342,000 is: 500,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832 : 342,000 = 342,000 : x
  2. Step 2: Convert to fraction form
    233,832/342,000 = 342,000/x
  3. Step 3: Cross multiply
    233,832x = 342,000 × 342,000
  4. Step 4: Simplify right side
    233,832x = 116,964,000,000
  5. Step 5: Solve for x
    x = 116,964,000,000/233,832
  6. Step 6: Final answer
    x = 500,205.28

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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.