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Finding the Third Proportional to 131,056 and 308,079

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Solution

The third proportional to 131,056 and 308,079 is: 724,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,056 : 308,079 = 308,079 : x
  2. Step 2: Convert to fraction form
    131,056/308,079 = 308,079/x
  3. Step 3: Cross multiply
    131,056x = 308,079 × 308,079
  4. Step 4: Simplify right side
    131,056x = 94,912,670,241
  5. Step 5: Solve for x
    x = 94,912,670,241/131,056
  6. Step 6: Final answer
    x = 724,214.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.