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Finding the Third Proportional to 77,414 and 179,207

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Solution

The third proportional to 77,414 and 179,207 is: 414,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,414 : 179,207 = 179,207 : x
  2. Step 2: Convert to fraction form
    77,414/179,207 = 179,207/x
  3. Step 3: Cross multiply
    77,414x = 179,207 × 179,207
  4. Step 4: Simplify right side
    77,414x = 32,115,148,849
  5. Step 5: Solve for x
    x = 32,115,148,849/77,414
  6. Step 6: Final answer
    x = 414,849.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.