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Finding the Third Proportional to 132,816 and 199,725

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Solution

The third proportional to 132,816 and 199,725 is: 300,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,816 : 199,725 = 199,725 : x
  2. Step 2: Convert to fraction form
    132,816/199,725 = 199,725/x
  3. Step 3: Cross multiply
    132,816x = 199,725 × 199,725
  4. Step 4: Simplify right side
    132,816x = 39,890,075,625
  5. Step 5: Solve for x
    x = 39,890,075,625/132,816
  6. Step 6: Final answer
    x = 300,340.89

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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.