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Finding the Third Proportional to 246,141 and 351,978

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Solution

The third proportional to 246,141 and 351,978 is: 503,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,141 : 351,978 = 351,978 : x
  2. Step 2: Convert to fraction form
    246,141/351,978 = 351,978/x
  3. Step 3: Cross multiply
    246,141x = 351,978 × 351,978
  4. Step 4: Simplify right side
    246,141x = 123,888,512,484
  5. Step 5: Solve for x
    x = 123,888,512,484/246,141
  6. Step 6: Final answer
    x = 503,323.35

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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.