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Finding the Third Proportional to 163,790 and 246,840

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Solution

The third proportional to 163,790 and 246,840 is: 372,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,790 : 246,840 = 246,840 : x
  2. Step 2: Convert to fraction form
    163,790/246,840 = 246,840/x
  3. Step 3: Cross multiply
    163,790x = 246,840 × 246,840
  4. Step 4: Simplify right side
    163,790x = 60,929,985,600
  5. Step 5: Solve for x
    x = 60,929,985,600/163,790
  6. Step 6: Final answer
    x = 372,000.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.