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Finding the Third Proportional to 123,242 and 198,416

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Solution

The third proportional to 123,242 and 198,416 is: 319,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,242 : 198,416 = 198,416 : x
  2. Step 2: Convert to fraction form
    123,242/198,416 = 198,416/x
  3. Step 3: Cross multiply
    123,242x = 198,416 × 198,416
  4. Step 4: Simplify right side
    123,242x = 39,368,909,056
  5. Step 5: Solve for x
    x = 39,368,909,056/123,242
  6. Step 6: Final answer
    x = 319,443.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.