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Finding the Third Proportional to 120,232 and 256,548

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Solution

The third proportional to 120,232 and 256,548 is: 547,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,232 : 256,548 = 256,548 : x
  2. Step 2: Convert to fraction form
    120,232/256,548 = 256,548/x
  3. Step 3: Cross multiply
    120,232x = 256,548 × 256,548
  4. Step 4: Simplify right side
    120,232x = 65,816,876,304
  5. Step 5: Solve for x
    x = 65,816,876,304/120,232
  6. Step 6: Final answer
    x = 547,415.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.