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Finding the Third Proportional to 151,214 and 330,099

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Solution

The third proportional to 151,214 and 330,099 is: 720,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,214 : 330,099 = 330,099 : x
  2. Step 2: Convert to fraction form
    151,214/330,099 = 330,099/x
  3. Step 3: Cross multiply
    151,214x = 330,099 × 330,099
  4. Step 4: Simplify right side
    151,214x = 108,965,349,801
  5. Step 5: Solve for x
    x = 108,965,349,801/151,214
  6. Step 6: Final answer
    x = 720,603.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.