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Finding the Third Proportional to 166,929.75 and 353,722.88

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Solution

The third proportional to 166,929.75 and 353,722.88 is: 749,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,929.75 : 353,722.88 = 353,722.88 : x
  2. Step 2: Convert to fraction form
    166,929.75/353,722.88 = 353,722.88/x
  3. Step 3: Cross multiply
    166,929.75x = 353,722.88 × 353,722.88
  4. Step 4: Simplify right side
    166,929.75x = 125,119,872,298.27
  5. Step 5: Solve for x
    x = 125,119,872,298.27/166,929.75
  6. Step 6: Final answer
    x = 749,536.09

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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.