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Finding the Third Proportional to 229,744 and 346,800

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Solution

The third proportional to 229,744 and 346,800 is: 523,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,744 : 346,800 = 346,800 : x
  2. Step 2: Convert to fraction form
    229,744/346,800 = 346,800/x
  3. Step 3: Cross multiply
    229,744x = 346,800 × 346,800
  4. Step 4: Simplify right side
    229,744x = 120,270,240,000
  5. Step 5: Solve for x
    x = 120,270,240,000/229,744
  6. Step 6: Final answer
    x = 523,496.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.