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Finding the Third Proportional to 131,262 and 198,094

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Solution

The third proportional to 131,262 and 198,094 is: 298,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,262 : 198,094 = 198,094 : x
  2. Step 2: Convert to fraction form
    131,262/198,094 = 198,094/x
  3. Step 3: Cross multiply
    131,262x = 198,094 × 198,094
  4. Step 4: Simplify right side
    131,262x = 39,241,232,836
  5. Step 5: Solve for x
    x = 39,241,232,836/131,262
  6. Step 6: Final answer
    x = 298,953.49

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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.