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Finding the Third Proportional to 156,849 and 333,927

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Solution

The third proportional to 156,849 and 333,927 is: 710,920.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,849 : 333,927 = 333,927 : x
  2. Step 2: Convert to fraction form
    156,849/333,927 = 333,927/x
  3. Step 3: Cross multiply
    156,849x = 333,927 × 333,927
  4. Step 4: Simplify right side
    156,849x = 111,507,241,329
  5. Step 5: Solve for x
    x = 111,507,241,329/156,849
  6. Step 6: Final answer
    x = 710,920.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.