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Finding the Third Proportional to 160,850 and 353,425

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Solution

The third proportional to 160,850 and 353,425 is: 776,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,850 : 353,425 = 353,425 : x
  2. Step 2: Convert to fraction form
    160,850/353,425 = 353,425/x
  3. Step 3: Cross multiply
    160,850x = 353,425 × 353,425
  4. Step 4: Simplify right side
    160,850x = 124,909,230,625
  5. Step 5: Solve for x
    x = 124,909,230,625/160,850
  6. Step 6: Final answer
    x = 776,557.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.