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Finding the Third Proportional to 157,231 and 339,369.50

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Solution

The third proportional to 157,231 and 339,369.50 is: 732,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,231 : 339,369.50 = 339,369.50 : x
  2. Step 2: Convert to fraction form
    157,231/339,369.50 = 339,369.50/x
  3. Step 3: Cross multiply
    157,231x = 339,369.50 × 339,369.50
  4. Step 4: Simplify right side
    157,231x = 115,171,657,530.25
  5. Step 5: Solve for x
    x = 115,171,657,530.25/157,231
  6. Step 6: Final answer
    x = 732,499.68

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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.