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Finding the Third Proportional to 160,586 and 349,769

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Solution

The third proportional to 160,586 and 349,769 is: 761,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,586 : 349,769 = 349,769 : x
  2. Step 2: Convert to fraction form
    160,586/349,769 = 349,769/x
  3. Step 3: Cross multiply
    160,586x = 349,769 × 349,769
  4. Step 4: Simplify right side
    160,586x = 122,338,353,361
  5. Step 5: Solve for x
    x = 122,338,353,361/160,586
  6. Step 6: Final answer
    x = 761,824.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.