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Finding the Third Proportional to 150,178 and 328,212

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Solution

The third proportional to 150,178 and 328,212 is: 717,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,178 : 328,212 = 328,212 : x
  2. Step 2: Convert to fraction form
    150,178/328,212 = 328,212/x
  3. Step 3: Cross multiply
    150,178x = 328,212 × 328,212
  4. Step 4: Simplify right side
    150,178x = 107,723,116,944
  5. Step 5: Solve for x
    x = 107,723,116,944/150,178
  6. Step 6: Final answer
    x = 717,302.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.