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Finding the Third Proportional to 175,040 and 384,120

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Solution

The third proportional to 175,040 and 384,120 is: 842,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,040 : 384,120 = 384,120 : x
  2. Step 2: Convert to fraction form
    175,040/384,120 = 384,120/x
  3. Step 3: Cross multiply
    175,040x = 384,120 × 384,120
  4. Step 4: Simplify right side
    175,040x = 147,548,174,400
  5. Step 5: Solve for x
    x = 147,548,174,400/175,040
  6. Step 6: Final answer
    x = 842,939.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.