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Finding the Third Proportional to 157,324 and 339,692

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Solution

The third proportional to 157,324 and 339,692 is: 733,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,324 : 339,692 = 339,692 : x
  2. Step 2: Convert to fraction form
    157,324/339,692 = 339,692/x
  3. Step 3: Cross multiply
    157,324x = 339,692 × 339,692
  4. Step 4: Simplify right side
    157,324x = 115,390,654,864
  5. Step 5: Solve for x
    x = 115,390,654,864/157,324
  6. Step 6: Final answer
    x = 733,458.69

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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.