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Finding the Third Proportional to 231,300 and 346,950

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Solution

The third proportional to 231,300 and 346,950 is: 520,425

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,300 : 346,950 = 346,950 : x
  2. Step 2: Convert to fraction form
    231,300/346,950 = 346,950/x
  3. Step 3: Cross multiply
    231,300x = 346,950 × 346,950
  4. Step 4: Simplify right side
    231,300x = 120,374,302,500
  5. Step 5: Solve for x
    x = 120,374,302,500/231,300
  6. Step 6: Final answer
    x = 520,425

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.