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Finding the Third Proportional to 163,731.38 and 246,204.56

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Solution

The third proportional to 163,731.38 and 246,204.56 is: 370,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,731.38 : 246,204.56 = 246,204.56 : x
  2. Step 2: Convert to fraction form
    163,731.38/246,204.56 = 246,204.56/x
  3. Step 3: Cross multiply
    163,731.38x = 246,204.56 × 246,204.56
  4. Step 4: Simplify right side
    163,731.38x = 60,616,686,595.82
  5. Step 5: Solve for x
    x = 60,616,686,595.82/163,731.38
  6. Step 6: Final answer
    x = 370,220.35

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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.