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Finding the Third Proportional to 133,790.06 and 207,826.59

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Solution

The third proportional to 133,790.06 and 207,826.59 is: 322,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,790.06 : 207,826.59 = 207,826.59 : x
  2. Step 2: Convert to fraction form
    133,790.06/207,826.59 = 207,826.59/x
  3. Step 3: Cross multiply
    133,790.06x = 207,826.59 × 207,826.59
  4. Step 4: Simplify right side
    133,790.06x = 43,191,893,069.73
  5. Step 5: Solve for x
    x = 43,191,893,069.73/133,790.06
  6. Step 6: Final answer
    x = 322,833.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.