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Finding the Third Proportional to 131,674 and 202,260

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Solution

The third proportional to 131,674 and 202,260 is: 310,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,674 : 202,260 = 202,260 : x
  2. Step 2: Convert to fraction form
    131,674/202,260 = 202,260/x
  3. Step 3: Cross multiply
    131,674x = 202,260 × 202,260
  4. Step 4: Simplify right side
    131,674x = 40,909,107,600
  5. Step 5: Solve for x
    x = 40,909,107,600/131,674
  6. Step 6: Final answer
    x = 310,684.78

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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.