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Finding the Third Proportional to 220,752 and 339,734.25

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Solution

The third proportional to 220,752 and 339,734.25 is: 522,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,752 : 339,734.25 = 339,734.25 : x
  2. Step 2: Convert to fraction form
    220,752/339,734.25 = 339,734.25/x
  3. Step 3: Cross multiply
    220,752x = 339,734.25 × 339,734.25
  4. Step 4: Simplify right side
    220,752x = 115,419,360,623.06
  5. Step 5: Solve for x
    x = 115,419,360,623.06/220,752
  6. Step 6: Final answer
    x = 522,846.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.