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Finding the Third Proportional to 132,972 and 288,099

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Solution

The third proportional to 132,972 and 288,099 is: 624,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,972 : 288,099 = 288,099 : x
  2. Step 2: Convert to fraction form
    132,972/288,099 = 288,099/x
  3. Step 3: Cross multiply
    132,972x = 288,099 × 288,099
  4. Step 4: Simplify right side
    132,972x = 83,001,033,801
  5. Step 5: Solve for x
    x = 83,001,033,801/132,972
  6. Step 6: Final answer
    x = 624,199.33

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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.