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Finding the Third Proportional to 123,174 and 270,594

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Solution

The third proportional to 123,174 and 270,594 is: 594,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,174 : 270,594 = 270,594 : x
  2. Step 2: Convert to fraction form
    123,174/270,594 = 270,594/x
  3. Step 3: Cross multiply
    123,174x = 270,594 × 270,594
  4. Step 4: Simplify right side
    123,174x = 73,221,112,836
  5. Step 5: Solve for x
    x = 73,221,112,836/123,174
  6. Step 6: Final answer
    x = 594,452.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.