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Finding the Third Proportional to 157,105.13 and 339,117.75

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Solution

The third proportional to 157,105.13 and 339,117.75 is: 731,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,105.13 : 339,117.75 = 339,117.75 : x
  2. Step 2: Convert to fraction form
    157,105.13/339,117.75 = 339,117.75/x
  3. Step 3: Cross multiply
    157,105.13x = 339,117.75 × 339,117.75
  4. Step 4: Simplify right side
    157,105.13x = 115,000,848,365.06
  5. Step 5: Solve for x
    x = 115,000,848,365.06/157,105.13
  6. Step 6: Final answer
    x = 731,999.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.