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Finding the Third Proportional to 163,311 and 349,950

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Solution

The third proportional to 163,311 and 349,950 is: 749,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,311 : 349,950 = 349,950 : x
  2. Step 2: Convert to fraction form
    163,311/349,950 = 349,950/x
  3. Step 3: Cross multiply
    163,311x = 349,950 × 349,950
  4. Step 4: Simplify right side
    163,311x = 122,465,002,500
  5. Step 5: Solve for x
    x = 122,465,002,500/163,311
  6. Step 6: Final answer
    x = 749,888.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.