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Finding the Third Proportional to 120,489 and 256,450.13

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Solution

The third proportional to 120,489 and 256,450.13 is: 545,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,489 : 256,450.13 = 256,450.13 : x
  2. Step 2: Convert to fraction form
    120,489/256,450.13 = 256,450.13/x
  3. Step 3: Cross multiply
    120,489x = 256,450.13 × 256,450.13
  4. Step 4: Simplify right side
    120,489x = 65,766,666,612.52
  5. Step 5: Solve for x
    x = 65,766,666,612.52/120,489
  6. Step 6: Final answer
    x = 545,831.29

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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.