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Finding the Third Proportional to 166,929.75 and 353,723.63

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Solution

The third proportional to 166,929.75 and 353,723.63 is: 749,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,929.75 : 353,723.63 = 353,723.63 : x
  2. Step 2: Convert to fraction form
    166,929.75/353,723.63 = 353,723.63/x
  3. Step 3: Cross multiply
    166,929.75x = 353,723.63 × 353,723.63
  4. Step 4: Simplify right side
    166,929.75x = 125,120,402,883.14
  5. Step 5: Solve for x
    x = 125,120,402,883.14/166,929.75
  6. Step 6: Final answer
    x = 749,539.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.