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Finding the Third Proportional to 76,354 and 164,414

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Solution

The third proportional to 76,354 and 164,414 is: 354,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354 : 164,414 = 164,414 : x
  2. Step 2: Convert to fraction form
    76,354/164,414 = 164,414/x
  3. Step 3: Cross multiply
    76,354x = 164,414 × 164,414
  4. Step 4: Simplify right side
    76,354x = 27,031,963,396
  5. Step 5: Solve for x
    x = 27,031,963,396/76,354
  6. Step 6: Final answer
    x = 354,034.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.