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Finding the Third Proportional to 160,769 and 349,208

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Solution

The third proportional to 160,769 and 349,208 is: 758,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,769 : 349,208 = 349,208 : x
  2. Step 2: Convert to fraction form
    160,769/349,208 = 349,208/x
  3. Step 3: Cross multiply
    160,769x = 349,208 × 349,208
  4. Step 4: Simplify right side
    160,769x = 121,946,227,264
  5. Step 5: Solve for x
    x = 121,946,227,264/160,769
  6. Step 6: Final answer
    x = 758,518.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.