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Finding the Third Proportional to 220,769 and 349,731

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Solution

The third proportional to 220,769 and 349,731 is: 554,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,769 : 349,731 = 349,731 : x
  2. Step 2: Convert to fraction form
    220,769/349,731 = 349,731/x
  3. Step 3: Cross multiply
    220,769x = 349,731 × 349,731
  4. Step 4: Simplify right side
    220,769x = 122,311,772,361
  5. Step 5: Solve for x
    x = 122,311,772,361/220,769
  6. Step 6: Final answer
    x = 554,026.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.