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Finding the Third Proportional to 163,928 and 252,900

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Solution

The third proportional to 163,928 and 252,900 is: 390,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,928 : 252,900 = 252,900 : x
  2. Step 2: Convert to fraction form
    163,928/252,900 = 252,900/x
  3. Step 3: Cross multiply
    163,928x = 252,900 × 252,900
  4. Step 4: Simplify right side
    163,928x = 63,958,410,000
  5. Step 5: Solve for x
    x = 63,958,410,000/163,928
  6. Step 6: Final answer
    x = 390,161.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.