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Finding the Third Proportional to 76,034 and 176,207

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Solution

The third proportional to 76,034 and 176,207 is: 408,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,034 : 176,207 = 176,207 : x
  2. Step 2: Convert to fraction form
    76,034/176,207 = 176,207/x
  3. Step 3: Cross multiply
    76,034x = 176,207 × 176,207
  4. Step 4: Simplify right side
    76,034x = 31,048,906,849
  5. Step 5: Solve for x
    x = 31,048,906,849/76,034
  6. Step 6: Final answer
    x = 408,355.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.