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Finding the Third Proportional to 220,742.25 and 341,724.75

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Solution

The third proportional to 220,742.25 and 341,724.75 is: 529,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,742.25 : 341,724.75 = 341,724.75 : x
  2. Step 2: Convert to fraction form
    220,742.25/341,724.75 = 341,724.75/x
  3. Step 3: Cross multiply
    220,742.25x = 341,724.75 × 341,724.75
  4. Step 4: Simplify right side
    220,742.25x = 116,775,804,762.56
  5. Step 5: Solve for x
    x = 116,775,804,762.56/220,742.25
  6. Step 6: Final answer
    x = 529,014.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.