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Finding the Third Proportional to 246,088 and 377,256

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Solution

The third proportional to 246,088 and 377,256 is: 578,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,088 : 377,256 = 377,256 : x
  2. Step 2: Convert to fraction form
    246,088/377,256 = 377,256/x
  3. Step 3: Cross multiply
    246,088x = 377,256 × 377,256
  4. Step 4: Simplify right side
    246,088x = 142,322,089,536
  5. Step 5: Solve for x
    x = 142,322,089,536/246,088
  6. Step 6: Final answer
    x = 578,338.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.