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Finding the Third Proportional to 256,059 and 368,861.63

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Solution

The third proportional to 256,059 and 368,861.63 is: 531,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,059 : 368,861.63 = 368,861.63 : x
  2. Step 2: Convert to fraction form
    256,059/368,861.63 = 368,861.63/x
  3. Step 3: Cross multiply
    256,059x = 368,861.63 × 368,861.63
  4. Step 4: Simplify right side
    256,059x = 136,058,898,397.64
  5. Step 5: Solve for x
    x = 136,058,898,397.64/256,059
  6. Step 6: Final answer
    x = 531,357.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.