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Finding the Third Proportional to 168,885 and 237,532.50

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Solution

The third proportional to 168,885 and 237,532.50 is: 334,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,885 : 237,532.50 = 237,532.50 : x
  2. Step 2: Convert to fraction form
    168,885/237,532.50 = 237,532.50/x
  3. Step 3: Cross multiply
    168,885x = 237,532.50 × 237,532.50
  4. Step 4: Simplify right side
    168,885x = 56,421,688,556.25
  5. Step 5: Solve for x
    x = 56,421,688,556.25/168,885
  6. Step 6: Final answer
    x = 334,083.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.