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Finding the Third Proportional to 163,936 and 236,928

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Solution

The third proportional to 163,936 and 236,928 is: 342,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,936 : 236,928 = 236,928 : x
  2. Step 2: Convert to fraction form
    163,936/236,928 = 236,928/x
  3. Step 3: Cross multiply
    163,936x = 236,928 × 236,928
  4. Step 4: Simplify right side
    163,936x = 56,134,877,184
  5. Step 5: Solve for x
    x = 56,134,877,184/163,936
  6. Step 6: Final answer
    x = 342,419.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.