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Finding the Third Proportional to 160,636.50 and 333,909

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Solution

The third proportional to 160,636.50 and 333,909 is: 694,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,636.50 : 333,909 = 333,909 : x
  2. Step 2: Convert to fraction form
    160,636.50/333,909 = 333,909/x
  3. Step 3: Cross multiply
    160,636.50x = 333,909 × 333,909
  4. Step 4: Simplify right side
    160,636.50x = 111,495,220,281
  5. Step 5: Solve for x
    x = 111,495,220,281/160,636.50
  6. Step 6: Final answer
    x = 694,083.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.