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Finding the Third Proportional to 220,185 and 337,385

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Solution

The third proportional to 220,185 and 337,385 is: 516,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,185 : 337,385 = 337,385 : x
  2. Step 2: Convert to fraction form
    220,185/337,385 = 337,385/x
  3. Step 3: Cross multiply
    220,185x = 337,385 × 337,385
  4. Step 4: Simplify right side
    220,185x = 113,828,638,225
  5. Step 5: Solve for x
    x = 113,828,638,225/220,185
  6. Step 6: Final answer
    x = 516,968.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.