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Finding the Third Proportional to 133,896.38 and 278,889.75

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Solution

The third proportional to 133,896.38 and 278,889.75 is: 580,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,896.38 : 278,889.75 = 278,889.75 : x
  2. Step 2: Convert to fraction form
    133,896.38/278,889.75 = 278,889.75/x
  3. Step 3: Cross multiply
    133,896.38x = 278,889.75 × 278,889.75
  4. Step 4: Simplify right side
    133,896.38x = 77,779,492,655.06
  5. Step 5: Solve for x
    x = 77,779,492,655.06/133,896.38
  6. Step 6: Final answer
    x = 580,893.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.