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Finding the Third Proportional to 206,354.63 and 271,355.63

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Solution

The third proportional to 206,354.63 and 271,355.63 is: 356,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.63 : 271,355.63 = 271,355.63 : x
  2. Step 2: Convert to fraction form
    206,354.63/271,355.63 = 271,355.63/x
  3. Step 3: Cross multiply
    206,354.63x = 271,355.63 × 271,355.63
  4. Step 4: Simplify right side
    206,354.63x = 73,633,875,219.14
  5. Step 5: Solve for x
    x = 73,633,875,219.14/206,354.63
  6. Step 6: Final answer
    x = 356,831.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.