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Finding the Third Proportional to 163,540 and 239,925

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Solution

The third proportional to 163,540 and 239,925 is: 351,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,540 : 239,925 = 239,925 : x
  2. Step 2: Convert to fraction form
    163,540/239,925 = 239,925/x
  3. Step 3: Cross multiply
    163,540x = 239,925 × 239,925
  4. Step 4: Simplify right side
    163,540x = 57,564,005,625
  5. Step 5: Solve for x
    x = 57,564,005,625/163,540
  6. Step 6: Final answer
    x = 351,987.32

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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.