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Finding the Third Proportional to 120,384 and 256,321

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Solution

The third proportional to 120,384 and 256,321 is: 545,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384 : 256,321 = 256,321 : x
  2. Step 2: Convert to fraction form
    120,384/256,321 = 256,321/x
  3. Step 3: Cross multiply
    120,384x = 256,321 × 256,321
  4. Step 4: Simplify right side
    120,384x = 65,700,455,041
  5. Step 5: Solve for x
    x = 65,700,455,041/120,384
  6. Step 6: Final answer
    x = 545,757.37

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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.