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Finding the Third Proportional to 166,906 and 345,475

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Solution

The third proportional to 166,906 and 345,475 is: 715,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,906 : 345,475 = 345,475 : x
  2. Step 2: Convert to fraction form
    166,906/345,475 = 345,475/x
  3. Step 3: Cross multiply
    166,906x = 345,475 × 345,475
  4. Step 4: Simplify right side
    166,906x = 119,352,975,625
  5. Step 5: Solve for x
    x = 119,352,975,625/166,906
  6. Step 6: Final answer
    x = 715,090.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.