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Finding the Third Proportional to 174,982 and 361,629

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Solution

The third proportional to 174,982 and 361,629 is: 747,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,982 : 361,629 = 361,629 : x
  2. Step 2: Convert to fraction form
    174,982/361,629 = 361,629/x
  3. Step 3: Cross multiply
    174,982x = 361,629 × 361,629
  4. Step 4: Simplify right side
    174,982x = 130,775,533,641
  5. Step 5: Solve for x
    x = 130,775,533,641/174,982
  6. Step 6: Final answer
    x = 747,365.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.