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Finding the Third Proportional to 132,824 and 199,737

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Solution

The third proportional to 132,824 and 199,737 is: 300,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,824 : 199,737 = 199,737 : x
  2. Step 2: Convert to fraction form
    132,824/199,737 = 199,737/x
  3. Step 3: Cross multiply
    132,824x = 199,737 × 199,737
  4. Step 4: Simplify right side
    132,824x = 39,894,869,169
  5. Step 5: Solve for x
    x = 39,894,869,169/132,824
  6. Step 6: Final answer
    x = 300,358.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.