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Finding the Third Proportional to 130,440.38 and 274,893.75

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Solution

The third proportional to 130,440.38 and 274,893.75 is: 579,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,440.38 : 274,893.75 = 274,893.75 : x
  2. Step 2: Convert to fraction form
    130,440.38/274,893.75 = 274,893.75/x
  3. Step 3: Cross multiply
    130,440.38x = 274,893.75 × 274,893.75
  4. Step 4: Simplify right side
    130,440.38x = 75,566,573,789.06
  5. Step 5: Solve for x
    x = 75,566,573,789.06/130,440.38
  6. Step 6: Final answer
    x = 579,318.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.