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Finding the Third Proportional to 157,254.75 and 339,538.50

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Solution

The third proportional to 157,254.75 and 339,538.50 is: 733,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,254.75 : 339,538.50 = 339,538.50 : x
  2. Step 2: Convert to fraction form
    157,254.75/339,538.50 = 339,538.50/x
  3. Step 3: Cross multiply
    157,254.75x = 339,538.50 × 339,538.50
  4. Step 4: Simplify right side
    157,254.75x = 115,286,392,982.25
  5. Step 5: Solve for x
    x = 115,286,392,982.25/157,254.75
  6. Step 6: Final answer
    x = 733,118.67

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Why These Related Problems?

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