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Finding the Third Proportional to 166,681 and 359,425

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Solution

The third proportional to 166,681 and 359,425 is: 775,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,681 : 359,425 = 359,425 : x
  2. Step 2: Convert to fraction form
    166,681/359,425 = 359,425/x
  3. Step 3: Cross multiply
    166,681x = 359,425 × 359,425
  4. Step 4: Simplify right side
    166,681x = 129,186,330,625
  5. Step 5: Solve for x
    x = 129,186,330,625/166,681
  6. Step 6: Final answer
    x = 775,051.33

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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.