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Finding the Third Proportional to 134,091 and 198,817

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Solution

The third proportional to 134,091 and 198,817 is: 294,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,091 : 198,817 = 198,817 : x
  2. Step 2: Convert to fraction form
    134,091/198,817 = 198,817/x
  3. Step 3: Cross multiply
    134,091x = 198,817 × 198,817
  4. Step 4: Simplify right side
    134,091x = 39,528,199,489
  5. Step 5: Solve for x
    x = 39,528,199,489/134,091
  6. Step 6: Final answer
    x = 294,786.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.