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Finding the Third Proportional to 163,536 and 239,919

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Solution

The third proportional to 163,536 and 239,919 is: 351,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,536 : 239,919 = 239,919 : x
  2. Step 2: Convert to fraction form
    163,536/239,919 = 239,919/x
  3. Step 3: Cross multiply
    163,536x = 239,919 × 239,919
  4. Step 4: Simplify right side
    163,536x = 57,561,126,561
  5. Step 5: Solve for x
    x = 57,561,126,561/163,536
  6. Step 6: Final answer
    x = 351,978.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.