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Finding the Third Proportional to 121,056 and 256,674

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Solution

The third proportional to 121,056 and 256,674 is: 544,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,056 : 256,674 = 256,674 : x
  2. Step 2: Convert to fraction form
    121,056/256,674 = 256,674/x
  3. Step 3: Cross multiply
    121,056x = 256,674 × 256,674
  4. Step 4: Simplify right side
    121,056x = 65,881,542,276
  5. Step 5: Solve for x
    x = 65,881,542,276/121,056
  6. Step 6: Final answer
    x = 544,223.68

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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.