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Finding the Third Proportional to 164,856 and 355,992

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Solution

The third proportional to 164,856 and 355,992 is: 768,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,856 : 355,992 = 355,992 : x
  2. Step 2: Convert to fraction form
    164,856/355,992 = 355,992/x
  3. Step 3: Cross multiply
    164,856x = 355,992 × 355,992
  4. Step 4: Simplify right side
    164,856x = 126,730,304,064
  5. Step 5: Solve for x
    x = 126,730,304,064/164,856
  6. Step 6: Final answer
    x = 768,733.34

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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.