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Finding the Third Proportional to 120,770 and 256,156

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Solution

The third proportional to 120,770 and 256,156 is: 543,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770 : 256,156 = 256,156 : x
  2. Step 2: Convert to fraction form
    120,770/256,156 = 256,156/x
  3. Step 3: Cross multiply
    120,770x = 256,156 × 256,156
  4. Step 4: Simplify right side
    120,770x = 65,615,896,336
  5. Step 5: Solve for x
    x = 65,615,896,336/120,770
  6. Step 6: Final answer
    x = 543,312.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.