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Finding the Third Proportional to 129,422 and 199,907

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Solution

The third proportional to 129,422 and 199,907 is: 308,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,422 : 199,907 = 199,907 : x
  2. Step 2: Convert to fraction form
    129,422/199,907 = 199,907/x
  3. Step 3: Cross multiply
    129,422x = 199,907 × 199,907
  4. Step 4: Simplify right side
    129,422x = 39,962,808,649
  5. Step 5: Solve for x
    x = 39,962,808,649/129,422
  6. Step 6: Final answer
    x = 308,779.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.