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Finding the Third Proportional to 166,684 and 359,430

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Solution

The third proportional to 166,684 and 359,430 is: 775,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,684 : 359,430 = 359,430 : x
  2. Step 2: Convert to fraction form
    166,684/359,430 = 359,430/x
  3. Step 3: Cross multiply
    166,684x = 359,430 × 359,430
  4. Step 4: Simplify right side
    166,684x = 129,189,924,900
  5. Step 5: Solve for x
    x = 129,189,924,900/166,684
  6. Step 6: Final answer
    x = 775,058.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.