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Finding the Third Proportional to 218,100 and 319,950

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Solution

The third proportional to 218,100 and 319,950 is: 469,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,100 : 319,950 = 319,950 : x
  2. Step 2: Convert to fraction form
    218,100/319,950 = 319,950/x
  3. Step 3: Cross multiply
    218,100x = 319,950 × 319,950
  4. Step 4: Simplify right side
    218,100x = 102,368,002,500
  5. Step 5: Solve for x
    x = 102,368,002,500/218,100
  6. Step 6: Final answer
    x = 469,362.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.