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Finding the Third Proportional to 147,636 and 234,414

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Solution

The third proportional to 147,636 and 234,414 is: 372,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,636 : 234,414 = 234,414 : x
  2. Step 2: Convert to fraction form
    147,636/234,414 = 234,414/x
  3. Step 3: Cross multiply
    147,636x = 234,414 × 234,414
  4. Step 4: Simplify right side
    147,636x = 54,949,923,396
  5. Step 5: Solve for x
    x = 54,949,923,396/147,636
  6. Step 6: Final answer
    x = 372,198.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.