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Finding the Third Proportional to 163,872 and 244,764

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Solution

The third proportional to 163,872 and 244,764 is: 365,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872 : 244,764 = 244,764 : x
  2. Step 2: Convert to fraction form
    163,872/244,764 = 244,764/x
  3. Step 3: Cross multiply
    163,872x = 244,764 × 244,764
  4. Step 4: Simplify right side
    163,872x = 59,909,415,696
  5. Step 5: Solve for x
    x = 59,909,415,696/163,872
  6. Step 6: Final answer
    x = 365,586.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.