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Finding the Third Proportional to 193,538 and 414,724

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Solution

The third proportional to 193,538 and 414,724 is: 888,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,538 : 414,724 = 414,724 : x
  2. Step 2: Convert to fraction form
    193,538/414,724 = 414,724/x
  3. Step 3: Cross multiply
    193,538x = 414,724 × 414,724
  4. Step 4: Simplify right side
    193,538x = 171,995,996,176
  5. Step 5: Solve for x
    x = 171,995,996,176/193,538
  6. Step 6: Final answer
    x = 888,693.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.