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Finding the Third Proportional to 156,101.06 and 338,445.56

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Solution

The third proportional to 156,101.06 and 338,445.56 is: 733,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,101.06 : 338,445.56 = 338,445.56 : x
  2. Step 2: Convert to fraction form
    156,101.06/338,445.56 = 338,445.56/x
  3. Step 3: Cross multiply
    156,101.06x = 338,445.56 × 338,445.56
  4. Step 4: Simplify right side
    156,101.06x = 114,545,398,775.94
  5. Step 5: Solve for x
    x = 114,545,398,775.94/156,101.06
  6. Step 6: Final answer
    x = 733,790.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.