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Finding the Third Proportional to 121,797.25 and 265,727.38

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Solution

The third proportional to 121,797.25 and 265,727.38 is: 579,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,797.25 : 265,727.38 = 265,727.38 : x
  2. Step 2: Convert to fraction form
    121,797.25/265,727.38 = 265,727.38/x
  3. Step 3: Cross multiply
    121,797.25x = 265,727.38 × 265,727.38
  4. Step 4: Simplify right side
    121,797.25x = 70,611,037,824.39
  5. Step 5: Solve for x
    x = 70,611,037,824.39/121,797.25
  6. Step 6: Final answer
    x = 579,742.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.