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Finding the Third Proportional to 163,989 and 246,489

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Solution

The third proportional to 163,989 and 246,489 is: 370,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,989 : 246,489 = 246,489 : x
  2. Step 2: Convert to fraction form
    163,989/246,489 = 246,489/x
  3. Step 3: Cross multiply
    163,989x = 246,489 × 246,489
  4. Step 4: Simplify right side
    163,989x = 60,756,827,121
  5. Step 5: Solve for x
    x = 60,756,827,121/163,989
  6. Step 6: Final answer
    x = 370,493.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.