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Finding the Third Proportional to 157,230 and 339,367.50

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Solution

The third proportional to 157,230 and 339,367.50 is: 732,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,230 : 339,367.50 = 339,367.50 : x
  2. Step 2: Convert to fraction form
    157,230/339,367.50 = 339,367.50/x
  3. Step 3: Cross multiply
    157,230x = 339,367.50 × 339,367.50
  4. Step 4: Simplify right side
    157,230x = 115,170,300,056.25
  5. Step 5: Solve for x
    x = 115,170,300,056.25/157,230
  6. Step 6: Final answer
    x = 732,495.71

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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.