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Finding the Third Proportional to 151,502 and 329,212

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Solution

The third proportional to 151,502 and 329,212 is: 715,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,502 : 329,212 = 329,212 : x
  2. Step 2: Convert to fraction form
    151,502/329,212 = 329,212/x
  3. Step 3: Cross multiply
    151,502x = 329,212 × 329,212
  4. Step 4: Simplify right side
    151,502x = 108,380,540,944
  5. Step 5: Solve for x
    x = 108,380,540,944/151,502
  6. Step 6: Final answer
    x = 715,373.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.