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Finding the Third Proportional to 166,320 and 355,536

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Solution

The third proportional to 166,320 and 355,536 is: 760,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,320 : 355,536 = 355,536 : x
  2. Step 2: Convert to fraction form
    166,320/355,536 = 355,536/x
  3. Step 3: Cross multiply
    166,320x = 355,536 × 355,536
  4. Step 4: Simplify right side
    166,320x = 126,405,847,296
  5. Step 5: Solve for x
    x = 126,405,847,296/166,320
  6. Step 6: Final answer
    x = 760,015.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.