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Finding the Third Proportional to 256,790.25 and 399,173.06

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Solution

The third proportional to 256,790.25 and 399,173.06 is: 620,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,790.25 : 399,173.06 = 399,173.06 : x
  2. Step 2: Convert to fraction form
    256,790.25/399,173.06 = 399,173.06/x
  3. Step 3: Cross multiply
    256,790.25x = 399,173.06 × 399,173.06
  4. Step 4: Simplify right side
    256,790.25x = 159,339,133,825.63
  5. Step 5: Solve for x
    x = 159,339,133,825.63/256,790.25
  6. Step 6: Final answer
    x = 620,503.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.