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Finding the Third Proportional to 131,058 and 308,084

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Solution

The third proportional to 131,058 and 308,084 is: 724,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,058 : 308,084 = 308,084 : x
  2. Step 2: Convert to fraction form
    131,058/308,084 = 308,084/x
  3. Step 3: Cross multiply
    131,058x = 308,084 × 308,084
  4. Step 4: Simplify right side
    131,058x = 94,915,751,056
  5. Step 5: Solve for x
    x = 94,915,751,056/131,058
  6. Step 6: Final answer
    x = 724,227.07

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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.