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Finding the Third Proportional to 163,872 and 235,200

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Solution

The third proportional to 163,872 and 235,200 is: 337,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 235,200 = 235,200 : x
  2. Step 2: Convert to fraction form
    163,872/235,200 = 235,200/x
  3. Step 3: Cross multiply
    163,872x = 235,200 × 235,200
  4. Step 4: Simplify right side
    163,872x = 55,319,040,000
  5. Step 5: Solve for x
    x = 55,319,040,000/163,872
  6. Step 6: Final answer
    x = 337,574.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.