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Finding the Third Proportional to 220,933 and 337,820

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Solution

The third proportional to 220,933 and 337,820 is: 516,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,933 : 337,820 = 337,820 : x
  2. Step 2: Convert to fraction form
    220,933/337,820 = 337,820/x
  3. Step 3: Cross multiply
    220,933x = 337,820 × 337,820
  4. Step 4: Simplify right side
    220,933x = 114,122,352,400
  5. Step 5: Solve for x
    x = 114,122,352,400/220,933
  6. Step 6: Final answer
    x = 516,547.34

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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.