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Finding the Third Proportional to 166,336 and 359,984

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Solution

The third proportional to 166,336 and 359,984 is: 779,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,336 : 359,984 = 359,984 : x
  2. Step 2: Convert to fraction form
    166,336/359,984 = 359,984/x
  3. Step 3: Cross multiply
    166,336x = 359,984 × 359,984
  4. Step 4: Simplify right side
    166,336x = 129,588,480,256
  5. Step 5: Solve for x
    x = 129,588,480,256/166,336
  6. Step 6: Final answer
    x = 779,076.57

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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.