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Finding the Third Proportional to 146,082 and 208,755

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Solution

The third proportional to 146,082 and 208,755 is: 298,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,082 : 208,755 = 208,755 : x
  2. Step 2: Convert to fraction form
    146,082/208,755 = 208,755/x
  3. Step 3: Cross multiply
    146,082x = 208,755 × 208,755
  4. Step 4: Simplify right side
    146,082x = 43,578,650,025
  5. Step 5: Solve for x
    x = 43,578,650,025/146,082
  6. Step 6: Final answer
    x = 298,316.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.