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Finding the Third Proportional to 131,133 and 198,681

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Solution

The third proportional to 131,133 and 198,681 is: 301,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,133 : 198,681 = 198,681 : x
  2. Step 2: Convert to fraction form
    131,133/198,681 = 198,681/x
  3. Step 3: Cross multiply
    131,133x = 198,681 × 198,681
  4. Step 4: Simplify right side
    131,133x = 39,474,139,761
  5. Step 5: Solve for x
    x = 39,474,139,761/131,133
  6. Step 6: Final answer
    x = 301,023.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.