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Finding the Third Proportional to 132,316 and 199,704

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Solution

The third proportional to 132,316 and 199,704 is: 301,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,316 : 199,704 = 199,704 : x
  2. Step 2: Convert to fraction form
    132,316/199,704 = 199,704/x
  3. Step 3: Cross multiply
    132,316x = 199,704 × 199,704
  4. Step 4: Simplify right side
    132,316x = 39,881,687,616
  5. Step 5: Solve for x
    x = 39,881,687,616/132,316
  6. Step 6: Final answer
    x = 301,412.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.