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Finding the Third Proportional to 174,242 and 377,988

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Solution

The third proportional to 174,242 and 377,988 is: 819,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,242 : 377,988 = 377,988 : x
  2. Step 2: Convert to fraction form
    174,242/377,988 = 377,988/x
  3. Step 3: Cross multiply
    174,242x = 377,988 × 377,988
  4. Step 4: Simplify right side
    174,242x = 142,874,928,144
  5. Step 5: Solve for x
    x = 142,874,928,144/174,242
  6. Step 6: Final answer
    x = 819,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.