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Finding the Third Proportional to 171,099 and 353,046

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Solution

The third proportional to 171,099 and 353,046 is: 728,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,099 : 353,046 = 353,046 : x
  2. Step 2: Convert to fraction form
    171,099/353,046 = 353,046/x
  3. Step 3: Cross multiply
    171,099x = 353,046 × 353,046
  4. Step 4: Simplify right side
    171,099x = 124,641,478,116
  5. Step 5: Solve for x
    x = 124,641,478,116/171,099
  6. Step 6: Final answer
    x = 728,475.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.