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Finding the Third Proportional to 167,011.75 and 393,851.75

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Solution

The third proportional to 167,011.75 and 393,851.75 is: 928,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,011.75 : 393,851.75 = 393,851.75 : x
  2. Step 2: Convert to fraction form
    167,011.75/393,851.75 = 393,851.75/x
  3. Step 3: Cross multiply
    167,011.75x = 393,851.75 × 393,851.75
  4. Step 4: Simplify right side
    167,011.75x = 155,119,200,978.06
  5. Step 5: Solve for x
    x = 155,119,200,978.06/167,011.75
  6. Step 6: Final answer
    x = 928,792.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.