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Finding the Third Proportional to 256,178.25 and 547,826.63

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Solution

The third proportional to 256,178.25 and 547,826.63 is: 1,171,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,178.25 : 547,826.63 = 547,826.63 : x
  2. Step 2: Convert to fraction form
    256,178.25/547,826.63 = 547,826.63/x
  3. Step 3: Cross multiply
    256,178.25x = 547,826.63 × 547,826.63
  4. Step 4: Simplify right side
    256,178.25x = 300,114,011,058.89
  5. Step 5: Solve for x
    x = 300,114,011,058.89/256,178.25
  6. Step 6: Final answer
    x = 1,171,504.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.